Maths-
SAT
Easy
Question
A potter is selling vases. The function p gives the total profit p(x), in dollars, the potter will receive if the vases are sold at a price of x dollars each. The graph of y = p(x) is shown.
What equation represents the relationship between the price of one vase and the profit?
- p(x) = -6(x - 18)2 + 34
- p(x) = -6(x - 18)2 + 1536
- p(x) = -6(x - 34)2 + 18
- p(x) = -6(x - 34)2 + 1536
The correct answer is: p(x) = -6(x - 18)2 + 1536
when x = 18
p(x) = max = 1536
when x = 2
p(x) = 0
when x = 34
p(x) = 0
so, the function p is
p(x) = -6(x - 18)2 + 1536
{proportional of parabolic equation}
Related Questions to study
maths-
In a tournament for 64 teams, each game is played between two teams. Each team plays one game in the first round. For all rounds, the winning team of each game advances to play a game in the next round, and the losing team is eliminated from the tournament. How many teams remain to play in the fourth round of the tournament?
In a tournament for 64 teams, each game is played between two teams. Each team plays one game in the first round. For all rounds, the winning team of each game advances to play a game in the next round, and the losing team is eliminated from the tournament. How many teams remain to play in the fourth round of the tournament?
maths-sat
maths-
The box plots above show the distributions of two data sets. Which of the following statements must be true?
The box plots above show the distributions of two data sets. Which of the following statements must be true?
maths-sat
maths-
Henri buys 2 boxes of blue pens and some boxes of black pens, Each box contains 10 pens, and Henri buys a total of 50 pens. The equation 10(x + 2) = 50 represents this situation. Which of the following is the best interpretation of the expression x + 2 in this context?
Henri buys 2 boxes of blue pens and some boxes of black pens, Each box contains 10 pens, and Henri buys a total of 50 pens. The equation 10(x + 2) = 50 represents this situation. Which of the following is the best interpretation of the expression x + 2 in this context?
maths-sat
maths-
E = 18,000 - 2,000t
V = 18,000(0.85)t
The given equations are two different models that can be used to find the value, in dollars, of a particular car t years after it was purchased. Which of the following statements correctly compares the values of E and V for 0 < t < 9 ?
E = 18,000 - 2,000t
V = 18,000(0.85)t
The given equations are two different models that can be used to find the value, in dollars, of a particular car t years after it was purchased. Which of the following statements correctly compares the values of E and V for 0 < t < 9 ?
maths-sat
maths-
In the xy-plane, what is they-intercept of the line with equation y = -2x + 4 ?
In the xy-plane, what is they-intercept of the line with equation y = -2x + 4 ?
maths-sat
maths-
Costs of some steps to publish a manuscript can vary, as shown in the table.
Which of the following graphs could represent the relationship between
the number of manuscripts, x, and the cost, y, of acquiring ISBNs for the manuscripts?
Costs of some steps to publish a manuscript can vary, as shown in the table.
Which of the following graphs could represent the relationship between
the number of manuscripts, x, and the cost, y, of acquiring ISBNs for the manuscripts?
maths-sat
maths-
Costs of some steps to publish a manuscript can vary, as shown in the table.
Ewan writes 30 manuscripts and wants to get them published. What is the minimum cost, in dollars, for professional review of Ewan's manuscripts?
Costs of some steps to publish a manuscript can vary, as shown in the table.
Ewan writes 30 manuscripts and wants to get them published. What is the minimum cost, in dollars, for professional review of Ewan's manuscripts?
maths-sat
maths-
The scatterplot shows the average price per square foot of a house in the United States each year for several years. A line of best fit for the data is also shown.
The line of best fit predicted that the average price per square foot in 2001 would be $76. What is the difference between the predicted value and the actual average price per square foot in 2001?
The scatterplot shows the average price per square foot of a house in the United States each year for several years. A line of best fit for the data is also shown.
The line of best fit predicted that the average price per square foot in 2001 would be $76. What is the difference between the predicted value and the actual average price per square foot in 2001?
maths-sat
maths-
In the figure shown, line t intersects lines l and k. Which additional piece of information is sufficient to prove that lines l and k are parallel?
In the figure shown, line t intersects lines l and k. Which additional piece of information is sufficient to prove that lines l and k are parallel?
maths-sat
maths-
An office building has a room with a square-shaped floor. The actual length of the floor is 90 times the length of the floor on a blueprint drawn to scale. The actual area of the floor is p times the area of the floor on the blueprint. What is the value of p ?
An office building has a room with a square-shaped floor. The actual length of the floor is 90 times the length of the floor on a blueprint drawn to scale. The actual area of the floor is p times the area of the floor on the blueprint. What is the value of p ?
maths-sat
maths-
y=(x+5)2-8
The equation above can be represented by a parabola in the xy-plane. The parabola is then translated so that the vertex is at (0, 0). Which of the following best describes the translation?
y=(x+5)2-8
The equation above can be represented by a parabola in the xy-plane. The parabola is then translated so that the vertex is at (0, 0). Which of the following best describes the translation?
maths-sat
maths-
What is an equation of the graph shown?
What is an equation of the graph shown?
maths-sat
maths-
Which expression is equivalent to 
, where g and h are positive?
Which expression is equivalent to , where g and h are positive?
maths-sat
maths-
Triangle DEF (not shown) is similar to triangle ABC above, where side DE corresponds to side AB, side DF corresponds to side AC, and DE = 2AB. What is the measure of angle DFE ?
Triangle DEF (not shown) is similar to triangle ABC above, where side DE corresponds to side AB, side DF corresponds to side AC, and DE = 2AB. What is the measure of angle DFE ?
maths-sat
maths-
The function f models Jack's pulse, in beats per minute (bpm), as a function of his speed, in kilometers per hour (km/h), on a stationary bicycle. Based on the model, what was Jack's pulse, in bpm, when his speed was 0 km/h?
The function f models Jack's pulse, in beats per minute (bpm), as a function of his speed, in kilometers per hour (km/h), on a stationary bicycle. Based on the model, what was Jack's pulse, in bpm, when his speed was 0 km/h?
maths-sat
