Modeling with mathematics

Question

A recording studio charges musicians an initial fee of $50 to record an album. Studio time costs an additional $75 per hour.

Part1.) Write a linear model that represents the total cost of recording and album as a function of studio time ( in hours).

Part2.) Is it less expensive to purchase 12 hours of recording time at the studio or a $750 music software program that you can use to record on your own computer? explain

Answer 1

1. y=mx+b
2. y=75x+50
3. y=75*12+50 = 950
4. $750 software is cheaper than $950 to record