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

Answer:

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.

Step-by-step 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;

$30+4m=6m\\\\30=6m-4m\\\\30=2m\\\\m=\frac{30}{2}=15\ miles$

Hence both will charge the same amount after 15 miles.