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The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so that the cost per person is $20 if 50 attend. For each 5 skaters above 50, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 50, 60, and 70 skaters attend. No. of skaters Total Revenue 50 60 70 Price per Skater $ 20 19 $ 18 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 50 to 70? o The revenue increases. The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 50 skaters. R(X) = 1000 + 15x -0.1x² $ 1000 $ 1140 $ 1260 (d) Find the number of skaters that will maximize the revenue. 125 skaters (e) Find the maximum revenue. (f) When the revenue is at the maximum possible, what price is paid per skater?

The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so that the cost per person is $20 if 50 attend. For each 5 skaters above 50, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 50, 60, and 70 skaters attend. No. of skaters Total Revenue 50 60 70 Price per Skater $ 20 19 $ 18 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 50 to 70? o The revenue increases. The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 50 skaters. R(X) = 1000 + 15x -0.1x² $ 1000 $ 1140 $ 1260 (d) Find the number of skaters that will maximize the revenue. 125 skaters (e) Find the maximum revenue. (f) When the revenue is at the maximum possible, what price is paid per skater?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 4GP
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Please answere parts E and F.

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The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so that the cost per person is $20 if 50 attend. For each 5 skaters above 50, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 50, 60, and 70 skaters attend. No. of skaters Total Revenue 50 60 = 70 $ Price per Skater 20 19 18 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 50 to 70? The revenue increases. The revenue decreases. $1000 $ 1140 (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 50 skaters. R(x) 1000+ 15x -0.1x² $1260 (e) Find the maximum revenue. (d) Find the number of skaters that will maximize the revenue. 125 skaters (f) When the revenue is at the maximum possible, what price is paid per skater?
Transcribed Image Text:The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so that the cost per person is $20 if 50 attend. For each 5 skaters above 50, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 50, 60, and 70 skaters attend. No. of skaters Total Revenue 50 60 = 70 $ Price per Skater 20 19 18 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 50 to 70? The revenue increases. The revenue decreases. $1000 $ 1140 (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 50 skaters. R(x) 1000+ 15x -0.1x² $1260 (e) Find the maximum revenue. (d) Find the number of skaters that will maximize the revenue. 125 skaters (f) When the revenue is at the maximum possible, what price is paid per skater?
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