The owner of a skating rink rents the rink for parties at $696 if 58 or fewer skaters attend, so that the cost per person is $12 if 58 attend. For each 5 skaters above 58, she reduces the price per skater by $0.50. Which table gives the revenue generated if 58, 68, and 78 skaters attend?
A)
B)
C)
D)
E)

Question

The owner of a skating rink rents the rink for parties at $696 if 58 or fewer skaters attend, so that the cost per person is $12 if 58 attend. For each 5 skaters above 58, she reduces the price per skater by $0.50. Which table gives the revenue generated if 58, 68, and 78 skaters attend? ​
A)​ ​ 
B)​ ​ 
C)​ ​ 
D)​ ​ 
E)​ ​ ​

Quizplus · Accepted Answer

To find the revenue generated for each attendance, we need to calculate the cost per person depending on the number of skaters.

For 58 or fewer skaters, the cost per person is $12, so the revenue generated is 58 x $12 = $696 (the rental price).

For 68 skaters, the cost per person is $12 - 5 x $0.50 = $9.50 (since they are 10 skaters above 58, the price per skater is reduced by $0.50 five times). Therefore, the revenue generated is 68 x $9.50 = $646.

For 78 skaters, the cost per person is $9.50 - 4 x $0.50 = $7.50 (since they are 20 skaters above 58, the price per skater is reduced by $0.50 four times). Therefore, the revenue generated is 78 x $7.50 = $585.

The table that shows these values correctly is option C.

The Owner of a Skating Rink Rents the Rink for Parties