The owner of a skating rink rents the rink for parties at $480 if 40 or fewer skaters attend, so that the cost per person is $12 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 45, and 60 skaters attend. No. of skaters Total Revenue 40 45 60 Price per Skater 12 11.5 10 x ✓ $ $ 517.5 $ 600 x (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? o The revenue increases. The revenue decreases. (d) Find the revenue when 130 skaters attend. $ ✓ (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x) =
The owner of a skating rink rents the rink for parties at $480 if 40 or fewer skaters attend, so that the cost per person is $12 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 45, and 60 skaters attend. No. of skaters Total Revenue 40 45 60 Price per Skater 12 11.5 10 x ✓ $ $ 517.5 $ 600 x (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? o The revenue increases. The revenue decreases. (d) Find the revenue when 130 skaters attend. $ ✓ (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x) =
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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Transcribed Image Text:The owner of a skating rink rents the rink for parties at $480 if 40 or fewer skaters attend, so that the cost per person is $12 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50.
(a) Construct a table that gives the revenue generated if 40, 45, and 60 skaters attend.
No. of skaters
Total Revenue
40
45
60
Price per
Skater
12
11.5
10
X
$
$ 517.5
$ 600
(b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60?
o The revenue increases.
The revenue decreases.
X
(c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters.
R(x) =
(d) Find the revenue when 130 skaters attend.
$
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