The owner of a skating rink rents the rink for parties at $600 if 60 or fewer skaters attend, so that the cost per person is $10 if 60 attend. For each 5 skaters above 60, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 60, 70, and 80 skaters attend. No. of skaters Price per Skater Total Revenue 60 $ 70 $ 80 $ (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 60 to 80? The revenue increases.The revenue decreases. (c) Write the equation that describes the revenue for parties with x more than 60 skaters. R(x) = (d) Find the number of skaters that will maximize the revenue. skaters
The owner of a skating rink rents the rink for parties at $600 if 60 or fewer skaters attend, so that the cost per person is $10 if 60 attend. For each 5 skaters above 60, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 60, 70, and 80 skaters attend. No. of skaters Price per Skater Total Revenue 60 $ 70 $ 80 $ (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 60 to 80? The revenue increases.The revenue decreases. (c) Write the equation that describes the revenue for parties with x more than 60 skaters. R(x) = (d) Find the number of skaters that will maximize the revenue. skaters
Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Question
The owner of a skating rink rents the rink for parties at $600 if 60 or fewer skaters attend, so that the cost per person is $10 if 60 attend. For each 5 skaters above 60, she reduces the price per skater by $0.50.
(a) Construct a table that gives the revenue generated if 60, 70, and 80 skaters attend.
(b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 60 to 80?
(c) Write the equation that describes the revenue for parties with x more than 60 skaters.
(d) Find the number of skaters that will maximize the revenue.
skaters
| No. of skaters | Price per Skater |
Total Revenue |
|---|---|---|
| 60 | $ | |
| 70 | $ | |
| 80 | $ |
(b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 60 to 80?
The revenue increases.The revenue decreases.
(c) Write the equation that describes the revenue for parties with x more than 60 skaters.
R(x) =
(d) Find the number of skaters that will maximize the revenue.
skaters
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