Question

The maximum distance we can ride if we have $20.1

Answer 1

Let x represent the number of miles that a person rides.

Let C represent cost of x miles

From the information given,

cost of first mile = 1.35

Cost of each additional miles is 1.25. This means that the equation for the cost of x miles would be

C = 1.35 + 1.25(x - 1)

Given that C = $20.1, We would substitute it into the equation and find x. We have

20.1 = 1.35 + 1.25(x - 1)

By expanding the parentheses on the right, we have

20.1 = 1.35 + 1.25x - 1.25

By collecting like terms, we have

1.25x = 20.1 - 1.35 + 1.25

1.25x = 20

Dividing both sides of the equation by 1.25, we have

1.25x/1.25 = 20/1.25

x = 16

Maximum distance is 16 miles