PLZ HELP ME PLZZZ 60 POINTS MIKE’S REPAIR SHOP
$100 Service Charge
plus $65 per hour

AMY’S AUTO REPAIR
$40 Service Charge
plus $80 per hour

Fast forward a few years…and suppose you need to get your car
repaired. You see the ads above. Your father, who knows a bit about
cars, says it will probably take 3 hours to fix your car. How do you
determine where you should take your car to get it repaired?

1. Write an equation for each repair shop to represent the total cost of the car
repair as a function of the number of hours worked.
Let x = number of hours worked Let y = total cost to you
Mike’s Repair Shop
Amy’s Auto Repair
2. Now, use the substitution or elimination method to find the point of
intersection. Show your work below

3. At what point do the two lines intersect?

4. What is the meaning of the point of intersection in the context of this
problem?

5. If it will only take 3 hours to fix your car:
a. Which company would be cheapest?
b. What is the cost?
Show your work below:

6. If it takes 6 hours to repair the car
a. Which company would be cheapest?
b. What is the cost?
Show your work below:

7. Which repair shop do you think is advertising to encourage customers with
quick repairs to use their services? Explain why.