Question

Please answer A S A P

Answer 1

Answer:

1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3.  x = 4  

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80$\times$3 + $40 = $280 and Mike's will cost = $65$\times$3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80$\times$6 + $40 = $520 and Mike's will cost = $65$\times$6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

Step-by-step explanation:

i) x = number of hours worked

ii) y = total cost

1, i) equation for Mike's Repair Shop = $65x + $100

  ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3.   15x = 60, therefore x = 4  

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80$\times$3 + $40 = $280 and Mike's will cost = $65$\times$3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80$\times$6 + $40 = $520 and Mike's will cost = $65$\times$6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.