How do I solve this problem? A taxi charges $1.75 for the first 1/8 mile and $0.30 for each additional mile. Write an equation that gives the cost c of a taxi ride in terms of the number of miles m. How many miles did you travel if a ride cost $7.75?

First, lets convert the 1/8 of a mile into decimal form. To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = . 125.

For the first 0.125 miles, its $1.75. So remove that from the ride cost and keep track of the 0.125 miles elsewhere.

$7.75 - $1.75 = $6
Miles: 0.125

We’re left with $6. Let’s divide the $6 by $0.30 to figure out how many miles the $6 will buy us.

6 / 0.30 = 20
So 0.30 goes into 6 twenty times.

So our answer will be the sum of 20 and 0.125.
20 + 0.125 = 20.125 Miles

$7.75 will buy you a 20.125 mile ride.