Question

The taxi fare in Gotham city is 2.40 for the first mile and additional mileage charged at the rate of .20 for each additional.1 mile. You plan to give the driver a 2 tip. How many miles can you ride for 10.

Answer 1

28 miles

Explanation:

Let

x ----> the number of miles

y ----> the total cost of taxi fare

we know that

The linear equation in slope intercept form is equal to

`y=mx+b`

where

m is the slope or unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have

The unit rate or slope is equal to

`m=\$0.20\ per\ mile`

The initial value or y-intercept is equal to

`b=\$2.40`

substitute

`y=0.20x+2.40`

Find out how many miles can you ride for $10

Subtract $2 of the tip

we have

y=$10-$2=$8

substitute in the linear equation

`8=0.20x+2.40`

Solve for x

`0.20x=8-2.40`

`0.20x=5.60`

[tex]x=28\ miles/tex]