Question

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

Two car owners are in need of car repairs. Lacey will need to pay the mechanic $3 per minute for labor, plus $398 to cover the cost of new parts. Sebastian will need to pay $466 for parts and $1 per minute for labor. Depending on how long each repair takes, the two jobs might end up costing the same amount. How much time would that take? How much would Lacey and Sebastian each have to pay?

Answer 1

Explanation:

x=#of minutes

y= cost

Laceys equation: y=3x+398

Sebastions equation: y=x+466

intersection (34, 500)

itll take 34 minutes and cost $500