Kyle repairs AC units and charges $50 for the first hour of labor and $30 for each additional hour. write an equation to represent this situation, then determine his fee for a job that takes 7 hours

Answer 1

for 7 hours cost = 50 + 30(6) = 50 +180 = $230 for 7 hours

y = 50 +30(x-1) = 50 +30x -30

y = 20+30x is the simplest equation to describe dollar cost as a function of hours

but domain is restricted to x>1 or the interval [1, infinity) range y>50 or [50, infinity)

y= costs measured in dollars

x = time measured in hours

Answer 2

c(h) = 50 + 30(h - 1)

c(7) = 50 + 30(7 - 1)