Chapter 2.2, Problem 44E

Revenue The owner of a skating rink rents the rink for parties at $\$600$ if $50$ or fewer skaters attend, so that the cost per person is $\$12$ if $50$ attend. For each 5 skaters above 50, she reduces the price per skater by $\$0.50$

Construct a table that gives the revenue generated if $50$, $60$, and $70$ skaters attend.

Does the owner’s revenue from the rental of the rink increase or decrease as the number of skaters increases from $50$ to $70$?

Write the equation that describes the revenue for parties with $x$ more than skaters.

Find the number of skaters that will maximize the revenue.

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