The Strike Zone Battling Center provides cages for baseball players to perfect their swing. The patron pays a fixed rate of $12.75 for the first 45 minutes, pay an additional $0.35 for up to two hours and $0.25 per minute for any additional time over two hours. The following function is used to compute the overall cost for a patron.

where x is the amount of time in minutes spent battling at the Strike Zone. How much would you pay for 115 minutes?

$37.25 must be payed for the total time of 115 minutes.

Step-by-step explanation:

x be the total time spent in minutes,

It is given that the total time spent, x = 115 minutes.

To find the cost to pay for 115 minutes :

The first 45 minutes out of 115 minutes should be payed $12.75

Therefore, the remaining minutes is 115 - 45 = 70 minutes.

The additional 2 hours (120 minutes) should be payed $0.35 per minutes.

But, in this case the additional time is only 70 minutes.

⇒ 70 × 0.35

⇒ $24.5

The total amount to be payed for 115 minutes = $12.75 + $24.5

⇒ $37.25