Question

Alyssa 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 $300 and the total cost charged for 4 hours is $600. Write an equation for the function P(t),P(t), representing the amount of money Alyssa would have to pay to use the studio for tt hours.

Answer 1

The equation that represents the amount of money Alyssa would have to pay to use the studio for t hours is P(t) = 300 + 75t. This equation combines the initial studio-use fee of $300 with an hourly fee of $75 for each hour in the studio.

Step-by-step explanation:

The equation that represents the amount of money Alyssa would have to pay to use the studio for t hours is:

P(t) = 300 + 75t

This equation combines the initial studio-use fee of $300, which is a fixed fee, with an hourly fee of $75 for each hour in the studio. To find the equation, we can use the given information that the total cost for 4 hours is $600. We can substitute the values into the equation and solve for the variable t:

600 = 300 + 75(4)

600 = 300 + 300

600 = 600

Hence, the equation is P(t) = 300 + 75t.

Answer 2

Answer: 30

Step-by-step explanation: