Maths-
SAT
Easy

Question

The graph in the xy-plane of the linear function f contains the point (3, 4). For every increase of 5 units in x, f(x) increases by 3 units. Which of the following equations defines the function?

  1. f left parenthesis x right parenthesis equals negative 5 over 3 x plus 9
  2. f left parenthesis x right parenthesis equals negative 3 over 5 x plus 29 over 5
  3. f left parenthesis x right parenthesis equals 3 over 5 x plus 11 over 5
  4. f left parenthesis x right parenthesis equals 5 over 3 x minus 1

The correct answer is: f left parenthesis x right parenthesis equals 3 over 5 x plus 11 over 5


    The line pass through the point (3,4)
    For every increase of 5 units in x, f(x) increases by 3 units.
    The second point is (3 + 5, 4 + 3) = (8, 7)
    The line joining (3, 4) & (8, 7) is
    fraction numerator y minus 4 over denominator 7 minus 4 end fraction equals fraction numerator x minus 3 over denominator 8 minus 3 end fraction
    fraction numerator y minus 4 over denominator 3 end fraction equals fraction numerator x minus 3 over denominator 5 end fraction
    y minus 4 equals fraction numerator 3 left parenthesis x minus 3 right parenthesis over denominator 5 end fraction
    y minus 4 equals fraction numerator 3 left parenthesis x minus 3 right parenthesis over denominator 5 end fraction plus 4 equals fraction numerator 3 x minus 9 plus 20 over denominator 5 end fraction equals fraction numerator 3 x plus 11 over denominator 5 end fraction

    Related Questions to study

    SAT
    Maths-

    2x2 - 2 = 2x + 3
    Which of the following is a solution to the equation above?

    2x2 - 2 = 2x + 3
    Which of the following is a solution to the equation above?

    Maths-SAT
    SAT
    Maths-

    fraction numerator 2 left parenthesis x plus 1 right parenthesis over denominator x plus 5 end fraction equals 1 minus fraction numerator 1 over denominator x plus 5 end fraction
    What is the solution to the equation above?

    fraction numerator 2 left parenthesis x plus 1 right parenthesis over denominator x plus 5 end fraction equals 1 minus fraction numerator 1 over denominator x plus 5 end fraction
    What is the solution to the equation above?

    Maths-SAT
    SAT
    Maths-

    Blood volume, VB, in a human can be determined using the equation V subscript B equals fraction numerator V subscript P over denominator 1 minus H end fraction, where VP is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume?

    Blood volume, VB, in a human can be determined using the equation V subscript B equals fraction numerator V subscript P over denominator 1 minus H end fraction, where VP is the plasma volume and H is the hematocrit (the fraction of blood volume that is red blood cells). Which of the following correctly expresses the hematocrit in terms of the blood volume and the plasma volume?

    Maths-SAT
    parallel
    SAT
    Maths-

    Terrence's car contains 8 gallons of fuel. He plans to drive the car m miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of m?

    Terrence's car contains 8 gallons of fuel. He plans to drive the car m miles using the fuel currently in the car. If the car can drive 20 miles per gallon of fuel, which inequality gives the possible values of m?

    Maths-SAT
    SAT
    Maths-


    For the linear function h, the table above shows several values of x and their corresponding values of h(x). Which of the following defines h?


    For the linear function h, the table above shows several values of x and their corresponding values of h(x). Which of the following defines h?

    Maths-SAT
    SAT
    Maths-

    If 3( 3x + 5) = 2x - 8, what is the value of x?

    If 3( 3x + 5) = 2x - 8, what is the value of x?

    Maths-SAT
    parallel
    SAT
    Maths-

    ax=5
    In the equation above, a is a constant. For which of the following values of a will the equation have no solution?

    ax=5
    In the equation above, a is a constant. For which of the following values of a will the equation have no solution?

    Maths-SAT
    SAT
    Maths-

    In the xy-plane, the graph of y =x2+ bx + c, where b and c are constants, has x-intercepts at x = −2 and x = −6. What is the value of b ?

    In the xy-plane, the graph of y =x2+ bx + c, where b and c are constants, has x-intercepts at x = −2 and x = −6. What is the value of b ?

    Maths-SAT
    SAT
    Maths-


    In the right triangle above, sin θ = 2 over 5. If A C equals square root of n, what is the value of n ?


    In the right triangle above, sin θ = 2 over 5. If A C equals square root of n, what is the value of n ?

    Maths-SAT
    parallel
    SAT
    Maths-

    3x + 2y = 16
    6x + 2y = 28
    If the system of equations above has solution (x, y), what is the value of x + y?

    3x + 2y = 16
    6x + 2y = 28
    If the system of equations above has solution (x, y), what is the value of x + y?

    Maths-SAT
    SAT
    Maths-


    The table above shows the distribution of color for the 4000 cars registered in Town X. Based on the table, how many more white cars than black cars are registered in Town X?


    The table above shows the distribution of color for the 4000 cars registered in Town X. Based on the table, how many more white cars than black cars are registered in Town X?

    Maths-SAT
    SAT
    Maths-

    Hongbo sold x cell phones in 2013. The number of cell phones he sold in 2014 was 128% greater than in 2013, and the number of cell phones he sold in 2015 was 29% greater than in 2014. Which of the following expressions represents the number of cell phones Hongbo sold in 2015?

    Hongbo sold x cell phones in 2013. The number of cell phones he sold in 2014 was 128% greater than in 2013, and the number of cell phones he sold in 2015 was 29% greater than in 2014. Which of the following expressions represents the number of cell phones Hongbo sold in 2015?

    Maths-SAT
    parallel
    SAT
    Maths-


    The scatterplot above shows the maximum height h, in feet (ft), and maximum speed s, in miles per hour (mph), of 12 roller coasters as well as the line of best fit for the data. Of the following, which best represents an equation for the line of best fit?


    The scatterplot above shows the maximum height h, in feet (ft), and maximum speed s, in miles per hour (mph), of 12 roller coasters as well as the line of best fit for the data. Of the following, which best represents an equation for the line of best fit?

    Maths-SAT
    SAT
    Maths-


    In the xy-plane above, line m is perpendicular to line l (not shown). Which of the following could be an equation of line l ?


    In the xy-plane above, line m is perpendicular to line l (not shown). Which of the following could be an equation of line l ?

    Maths-SAT
    SAT
    Maths-

    In the xy-plane, the graph of a linear equation of the form y = mx + b and the graph of an exponential equation of the form y = abx both contain points (1, 3) and (2, 4). If the point (r, s) is on the graph of the linear equation and the point (r, t) is on the graph of the exponential equation, where 0 < r < 4 and s > t, which of the following must be true?

    In the xy-plane, the graph of a linear equation of the form y = mx + b and the graph of an exponential equation of the form y = abx both contain points (1, 3) and (2, 4). If the point (r, s) is on the graph of the linear equation and the point (r, t) is on the graph of the exponential equation, where 0 < r < 4 and s > t, which of the following must be true?

    Maths-SAT
    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.