Madelyn 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 $250 and the total cost charged for 5 hours is $500. Write an equation for P
,
P, in terms of
t
,
t, representing the amount of money Madelyn would have to pay to use the studio for
t
t hours.

9514 1404 393

  P = 250 +50t

Step-by-step explanation:

We are given two pairs of time and price:

  (t, P) = (0, 250)  and  (5, 500)

We can put these into the 2-point form of the equation for a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  P = (500 -250)/(5 -0)(t -0) +250

  P = 250/5t +250

  P = 50t +250 . . . . Madelyin's cost equation

y=−9/2x+10

step-by-step explanation:

let's solve for y.

0−9x−2y=−20

step 1: add 9x to both sides.

−9x−2y+9x=−20+9x

−2y=9x−20

step 2: divide both sides by -2.

−2y

−2

=

9x−20

−2

y=

−9

2

x+10