Question

Carter needs to lease out a music studio to record his new album. The studio charges an initial studio-use fee plus an hourly fee for each hour in the studio. The total amount of money Carter would have to pay to use the studio for t hours can be determined using the equation P=350+75t. What is the y-intercept of the equation and what is it's interpretation in the context of the problem​

Answer 1

Given:

The equation is

$P=350+75t$

Where, P be the total amount of money Carter would have to pay to use the studio for t hours.

To find:

The y-intercept and it's interpretation in the context of the problem​.

Solution:

We have,

$P=350+75t$

At t=0, we get

$P=350+75(0)$

$P=350+0$

$P=350$

Therefore, the y-intercept is 350 and it means the initial fee of the studio is 350 when the number of hours is 0.