Maths-
General
Easy

Question

Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y equals 3.39 x plus 46.89 , where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.

Which of the following is closest to the percent increase in the billions of pounds of plastic produced in the United States from 2000 to 2003 ?

  1. 10 straight percent sign
  2. 44 straight percent sign
  3. 77 straight percent sign
  4. 110 straight percent sign

hintHint:

We observe the data points, specially the highlighted ones and try to solve the problem intuitively.
The percent increase formula is as follows:
straight percent sign text  increase  end text equals open square brackets fraction numerator text  new value  end text minus text  original value  end text over denominator text  original value  end text end fraction close square brackets cross times 100

The correct answer is: 10 straight percent sign


    Step 1 of 2:
    We need to find the percent increase of plastic produced in the USA from 2000 to 2003.
    Note the highlighted points in the figure.
    The left one is the data point for the year 2000, since it is on the 15th x-axis line and (1985+15)=2000. This point is exactly equal to 100 of the -axis line.
    And the right one is of the year 2003, and it is somewhere in middle of 100 and 120 of the y-axis lines. For the sake of simplicity, we consider the value as 110.
    Step 2 of 2:
    Now, as per the formula of percent increase, we have new value = 110 and original value = 100.
    So, the % increase is given by, %-increase almost equal to fraction numerator 110 minus 100 over denominator 100 end fraction cross times 100 almost equal to 10 over 100 cross times 100 almost equal to 10
    Final Answer:
    The closest to the percent increase from the given options is— A) 10%

    Related Questions to study

    General
    Maths-

    Solve each inequality and graph the solution :
    0.5x-4-2x≤2

    Solve each inequality and graph the solution :
    0.5x-4-2x≤2

    Maths-General
    General
    Maths-

    h left parenthesis x right parenthesis equals 1 minus g left parenthesis x right parenthesis
    g left parenthesis x right parenthesis equals 2 x minus 1 space
    The functions g and h are defined above. What is the value of h (0)?

    h left parenthesis x right parenthesis equals 1 minus g left parenthesis x right parenthesis
    g left parenthesis x right parenthesis equals 2 x minus 1 space
    The functions g and h are defined above. What is the value of h (0)?

    Maths-General
    General
    Maths-

    Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y equals 3.39 x plus 46.89 , where x  is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.

    Which of the following is the best interpretation of the number 3.39 in the context of the problem?

    Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y equals 3.39 x plus 46.89 , where x  is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.

    Which of the following is the best interpretation of the number 3.39 in the context of the problem?

    Maths-General
    parallel
    General
    Maths-

    Some building codes require that, for indoor stairways, the tread depth must be at least 9 inches and the riser height must be at least 5 inches. According to the riser-tread formula, which of the following inequalities represents the set of all possible values for the riser height that meets this code requirement?

    When designing a stairway, an architect can use the riser-tread formula 2 h plus d equals 25, where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
    The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.

    In mathematics, inequalities explain the relationship between two non-equal values. When two values are not equal, we frequently use the "not equal symbol ()" to indicate this. However, many inequalities are used to compare the values and determine whether they are less than or greater.
    ¶A relationship is considered to be an inequality if it involves two real numbers or algebraic expressions and uses the symbols ">"; "<"; "≥"; "≤. "
    ¶Since the tread depth, 'd' is at least 9 inches, and the riser height, 'h' is at least 5 inches, it follows that h ≥ 5, and d ≥ 9
    respectively. Solving for d in the riser tread formula 2h + d = 25 gives d = 25 - 2h. Thus the first inequality, d ≥ 9, is equivalent to
    25-2h ≥ 9.

    Some building codes require that, for indoor stairways, the tread depth must be at least 9 inches and the riser height must be at least 5 inches. According to the riser-tread formula, which of the following inequalities represents the set of all possible values for the riser height that meets this code requirement?

    When designing a stairway, an architect can use the riser-tread formula 2 h plus d equals 25, where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
    The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.

    Maths-General

    In mathematics, inequalities explain the relationship between two non-equal values. When two values are not equal, we frequently use the "not equal symbol ()" to indicate this. However, many inequalities are used to compare the values and determine whether they are less than or greater.
    ¶A relationship is considered to be an inequality if it involves two real numbers or algebraic expressions and uses the symbols ">"; "<"; "≥"; "≤. "
    ¶Since the tread depth, 'd' is at least 9 inches, and the riser height, 'h' is at least 5 inches, it follows that h ≥ 5, and d ≥ 9
    respectively. Solving for d in the riser tread formula 2h + d = 25 gives d = 25 - 2h. Thus the first inequality, d ≥ 9, is equivalent to
    25-2h ≥ 9.

    General
    Maths-

    Solve each inequality and graph the solution :
    fraction numerator 2 x over denominator 3 end fraction plus 14 minus 3 x greater than negative 7

    Solve each inequality and graph the solution :
    fraction numerator 2 x over denominator 3 end fraction plus 14 minus 3 x greater than negative 7

    Maths-General
    General
    Maths-

    The function h, defined by h left parenthesis t right parenthesis equals a t plus b, where  a  and  b are constants, models the height, in centimeters, of the sunflower after  t days of growth during a time period in which the growth is approximately linear. What does a represent?

    In H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height  h, in centimeters, of a sunflower t days after the sunflower begins to grow.

    The function h, defined by h left parenthesis t right parenthesis equals a t plus b, where  a  and  b are constants, models the height, in centimeters, of the sunflower after  t days of growth during a time period in which the growth is approximately linear. What does a represent?

    In H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height  h, in centimeters, of a sunflower t days after the sunflower begins to grow.

    Maths-General
    parallel
    General
    Maths-

    Which of the following expresses the riser height in terms of the tread depth?

    When designing a stairway, an architect can use the riser-tread formula 2 h plus d equals 25, where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
    The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.

    Which of the following expresses the riser height in terms of the tread depth?

    When designing a stairway, an architect can use the riser-tread formula 2 h plus d equals 25, where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
    The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.

    Maths-General
    General
    Maths-

    Oil and gas production in a certain area dropped
    from 4 million barrels in 2000 to 1.9 million barrels
    in 2013. Assuming that the oil and gas production
    decreased at a constant rate, which of the following
    linear functions f best models the production, in
    millions of barrels, t years after the year 2000?

    Oil and gas production in a certain area dropped
    from 4 million barrels in 2000 to 1.9 million barrels
    in 2013. Assuming that the oil and gas production
    decreased at a constant rate, which of the following
    linear functions f best models the production, in
    millions of barrels, t years after the year 2000?

    Maths-General
    General
    Maths-

    Over which of the following time periods is the average growth rate of the sunflower least?

    In 1919,H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.

    Over which of the following time periods is the average growth rate of the sunflower least?

    In 1919,H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.

    Maths-General
    parallel
    General
    Maths-

    If fraction numerator 2 a over denominator b end fraction equals 1 half, what is the value of b over a?

    If fraction numerator 2 a over denominator b end fraction equals 1 half, what is the value of b over a?

    Maths-General
    General
    Maths-

    Points A and B lie on a circle with radius 1 , and arc stack A B with overparenthesis on top has length pi over 3. What fraction of the circumference of the circle is the length of arc stack A B with overparenthesis on top ?

    Points A and B lie on a circle with radius 1 , and arc stack A B with overparenthesis on top has length pi over 3. What fraction of the circumference of the circle is the length of arc stack A B with overparenthesis on top ?

    Maths-General
    General
    Maths-

    An architect wants to use the riser-tread formula to design a stairway with a total rise of 9 feet, a riser height between 7 and 8 inches, and an odd number of steps. With the architect's constraints, which of the following must be the tread depth, in inches, of the stairway? ( 1 foot = 12 inches)

    When designing a stairway, an architect can use the riser-tread formula 2 h plus d equals 25, where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
    The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.

    An architect wants to use the riser-tread formula to design a stairway with a total rise of 9 feet, a riser height between 7 and 8 inches, and an odd number of steps. With the architect's constraints, which of the following must be the tread depth, in inches, of the stairway? ( 1 foot = 12 inches)

    When designing a stairway, an architect can use the riser-tread formula 2 h plus d equals 25, where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
    The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.

    Maths-General
    parallel
    General
    Maths-

    A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?

    A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?

    Maths-General
    General
    Maths-

    left parenthesis x minus 6 right parenthesis squared plus left parenthesis y plus 5 right parenthesis squared equals 16
    In the xy -plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates (10, -5). If Error converting from MathML to accessible text. is a diameter of the circle, what are the coordinates of point Q?

    left parenthesis x minus 6 right parenthesis squared plus left parenthesis y plus 5 right parenthesis squared equals 16
    In the xy -plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates (10, -5). If Error converting from MathML to accessible text. is a diameter of the circle, what are the coordinates of point Q?

    Maths-General
    General
    Maths-

    How many liters of a 25 straight percent sign  saline solution must be added to 3 liters of a 10 straight percent sign saline solution to obtain a 15 straight percent sign saline solution?

    How many liters of a 25 straight percent sign  saline solution must be added to 3 liters of a 10 straight percent sign saline solution to obtain a 15 straight percent sign saline solution?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.