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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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