Question

Sarah needs to lease out a music studio to record her new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The fixed fee to use the studio is $150 and the total cost charged for 2 hours is $300. Write an equation for P,P, in terms of t,t, representing the amount of money Sarah would have to pay to use the studio for tt hours.

Answer 1

`P=150+150t`

Explanation:

Let P denotes the total cost and t denotes the time.

Total cost for 2 hours = $300

So,

Cost for 1 hour =
`(300)/(2) =\$150`

Also,

Fixed fee to use the studio = $150

The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio.

Therefore,

Total cost = Fixed fee to use the studio + Hourly fee for each hour in the studio

`P=150+150t`