- The meaning of the intersection (4,360) means that when 4 hours of repair has passed for either service, the price of each service will be the same ($360).

- If it takes 3 hours to fix your car: Amy's Auto Repair will be the cheapest of the two services.

Step-by-step explanation:

Set both functions equal to each other:

100+65x = 40+80x

Subtract from both sides:

65x-80x = -15x

40-100 = -60

Set the two new numbers equal to each other:

-15x = -60

Solve this equation:

-60 / -15 = 4

This means the answer to the x intercept is 4.

...Now we need to find the y intercept...

To figure this out, you need to substitute the x-intercept (4) in for any x in the equation:

100+65(4) = 40+80(4)... simplify... 100+260 = 40+320

Now solve this:

100+260 = 360 --- and --- 40+320 = 360...

360 = 360...this means the y-intercept is 360.

So, the answer to question 1 is (4,360)

Why Amy's Auto Repair shop will be cheaper than Mike's Repair Shop after 3 hours of service:

3 hours of Mike's service: 100+65(3) = $295

3 hours of Amy's service: 40+80(3) = $280 - CHEAPER

I hope this helps :)

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2 years ago