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.

Question

Mercury · Answer

as a general rule, for (a) items charged at (b) price per item, the total cost is a*b

applying this logic to the problem, the amount of money charged is (hourly rate)(# of hours), plus the fixed fee

fixed fee and # of hours are already given as $150, and t, respectively. you can find the hourly rate by dividing (amount charged for 2 hours) / (2 hours).

now that you have hourly rate, # of hours, and fixed fee, you can construct the equation