Answer:
- Point of intersection = (4, 360)
- 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
VS
3 hours of Amy's service: 40+80(3) = $280 - CHEAPER
I hope this helps :)
