Question

Jordan’s dog walking service charges a flat rate of $30 per month, plus $4 per mile that each dog is walked. Terrell does not charge a monthly fee for his dog walking service, but he charges $6 per mile that each dog is walked. Write and solve an equation to find the number of miles m for which Jordan and Terrell would charge the same amount.

Answer 1

The equation for number of miles when both will charge same amount
`30+4m=6m`.

Also both will charge the same amount after 15 miles.

Explanation:

Given:

Jordan Charge flat rate = $30

Per mile charge of Jordan = $4

Let the Number of miles be m;

Hence Total amount Charge by Jordan is equal to sum flat rate charges and per mile charges multiplied with number of miles.

Hence Equation can be frame as;

Total amount Charge by Jordan =
`30+4m`

Also Given:

Per mile charge of Terrell = $6

Hence Total amount Charge by Terrell is equal to per mile charges multiplied with number of miles.

Hence Equation can be frame as;

Total amount Charge by Terrell =
`6m`

Now We need to write equation for number of miles when both will charge same amount we get;

Total amount Charge by Jordan = Total amount Charge by Terrell

`30+4m=6m`

Hence the equation for number of miles when both will charge same amount
`30+4m=6m`.

Now Solving the equation to find m we get;

`30+4m=6m\\\\30=6m-4m\\\\30=2m\\\\m=(30)/(2)=15\ miles`

Hence both will charge the same amount after 15 miles.