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3. The city of Varad is selling tickets to their annual festival. Based on data from previous years, the committee in charge of planning for the festival have determined that when p dollars are charged for a ticket, the city's revenue from ticket sales is R(p)= -0.5p² + 10p thousand dollars, 0≤ p ≤ 20. R(p) is graphed below. 0 40 -20 50 -30 -10- 2 6 10 12 b. Evaluate R(8) and interpret this point in a sentence. 14 16 18 a. Use the graph above to estimate the instantaneous rate of change of R(p) when p=8. Interpret this in a sentence. 20 c. Find the percentage rate of change of R(p) when p=8. Interpret this in a sentence. d. Draw the tangent line to the graph at p=8. Which of the above values gives the slope of this line? Explain.

3. The city of Varad is selling tickets to their annual festival. Based on data from previous years, the committee in charge of planning for the festival have determined that when p dollars are charged for a ticket, the city's revenue from ticket sales is R(p)= -0.5p² + 10p thousand dollars, 0≤ p ≤ 20. R(p) is graphed below. 0 40 -20 50 -30 -10- 2 6 10 12 b. Evaluate R(8) and interpret this point in a sentence. 14 16 18 a. Use the graph above to estimate the instantaneous rate of change of R(p) when p=8. Interpret this in a sentence. 20 c. Find the percentage rate of change of R(p) when p=8. Interpret this in a sentence. d. Draw the tangent line to the graph at p=8. Which of the above values gives the slope of this line? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 42HP
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3. - The city of Varad is selling tickets to their annual festival. Based on data from previous years, the committee in charge of planning for the festival have determined that when p dollars are charged for a ticket, the city's revenue from ticket sales is R (p) = -0.5p² + 10p thousand dollars, 0≤ p ≤ 20. R(p) is graphed below. 0 50 40- -10- -30 -20- 6 10 12 b. Evaluate R(8) and interpret this point in a sentence. 16 18 a. Use the graph above to estimate the instantaneous rate of change of R(p) when p=8. Interpret this in a sentence. 20 c. Find the percentage rate of change of R(p) when p=8. Interpret this in a sentence. d. Draw the tangent line to the graph at p=8. Which of the above values gives the slope of this line? Explain.
Transcribed Image Text:3. - The city of Varad is selling tickets to their annual festival. Based on data from previous years, the committee in charge of planning for the festival have determined that when p dollars are charged for a ticket, the city's revenue from ticket sales is R (p) = -0.5p² + 10p thousand dollars, 0≤ p ≤ 20. R(p) is graphed below. 0 50 40- -10- -30 -20- 6 10 12 b. Evaluate R(8) and interpret this point in a sentence. 16 18 a. Use the graph above to estimate the instantaneous rate of change of R(p) when p=8. Interpret this in a sentence. 20 c. Find the percentage rate of change of R(p) when p=8. Interpret this in a sentence. d. Draw the tangent line to the graph at p=8. Which of the above values gives the slope of this line? Explain.
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