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An amazing math problem!
The application of a function!

To introduce some experience to you, this thing, as long as you list two function expressions and find the intersection of function images, is OK!

The resolution function of a place is: y = 8+1.2 (x-3) =1.2x+4.4.

The resolution function of b is y = 6+1.4 (x-5) =1.4x-1.

Simultaneous equation:

y= 1.2x+4.4

y= 1.4x- 1

Solution: x=27, y=36.8.

Explanation: here x refers to mileage, that is, how many kilometers; Y refers to the price, that is, how many yuan.

So:

When x < 27 (km) and cost A 27 (km), cost a > cost b.

As for the price difference:

When x < 27km:

1.2x+4.4-1.4x+1= 0.2x+5.4 (yuan)

When x = 27km:

There is no price difference

When x > 27km.

1.4x-1-1.2x-4.4 = 0.2x-5.4 (yuan)

To sum up:

When the mileage is less than 27km, the price difference is (0.2x+5.4) yuan;

When the mileage is equal to 27 kilometers, there is no price difference;

When the mileage exceeds 27 kilometers, the price difference is (0.2x-5.4) yuan;