Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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.
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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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Step 3: (d) Drawing the tangent line at p=8
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