A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) = 6750(0.928*) movies where x is the average price in dollars. (a) Write the function for the model giving revenue in dollars, where x is the average price in dollars. R(x) = (6750(.928)*)* (b) If each movie costs the store $10.00, write the function for the model that gives profit in dollars, where x is the aver P(x)=6750 (0.928)*x-67500(0.928)* Price (c) Complete the table. (Round your answers to three decimal places.) Rates of Change of Revenue and Profit Rate of change of revenue (dollars per dollar) 73.846 x $13 $14 $20 dollars $21 $22 -108.603 x x -799.272 x -748.153 dollars -839.151 x Rate of change of profit (dollars per dollar) 1982.591 x 1662.731 383.163 250.589 135.120 x x x

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.7: A Library Of Parent Functions
Problem 47E
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A store has determined that the number of Blu-ray movies sold monthly is approximately
n(x) = 6750(0.928*) movies
where x is the average price in dollars.
(a) Write the function for the model giving revenue in dollars, where x is the average price in dollars.
R(X) = (6750(.928)*)x
(b) If each movie costs the store $10.00, write the function for the model that gives profit in dollars, where x is the aver
P(x)=6750 (0.928)*x-67500(0.928)* dollars.
(c) Complete the table. (Round your answers to three decimal places.)
Rates of Change of Revenue and Profit
Rate of change
of revenue
(dollars per dollar)
73.846 x
Price
$13
$14
$20
dollars
$21
$22
-108.603
X
-748.153 x
-799.272
-839.151 x
Rate of change
of profit
(dollars per dollar)
1982.591 x
1662.731
383.163
250.589
135.120
x
x
Transcribed Image Text:A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) = 6750(0.928*) movies where x is the average price in dollars. (a) Write the function for the model giving revenue in dollars, where x is the average price in dollars. R(X) = (6750(.928)*)x (b) If each movie costs the store $10.00, write the function for the model that gives profit in dollars, where x is the aver P(x)=6750 (0.928)*x-67500(0.928)* dollars. (c) Complete the table. (Round your answers to three decimal places.) Rates of Change of Revenue and Profit Rate of change of revenue (dollars per dollar) 73.846 x Price $13 $14 $20 dollars $21 $22 -108.603 X -748.153 x -799.272 -839.151 x Rate of change of profit (dollars per dollar) 1982.591 x 1662.731 383.163 250.589 135.120 x x
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