Question

Beth does not charge a registration fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Tonya’s dog-walking service charges a registration fee of $20, plus $3 per mile that each dog is walked. Write and solve an equation to find the number of miles m for which Tonya and Beth would charge the same amount.

Answer 1

Answer: 10 miles.

Explanation:

Let m the number of miles that each dog is walked.

It is given that Beth does not charge a registration fee for her dog-walking service, but she charges $5 per mile that each dog is walked.

Amount charged by Beth = 5m

Tonya’s dog-walking service charges a registration fee of $20, plus $3 per mile that each dog is walked.

Amount charged by Tonya = 20+3m

We need to find the number of miles m for which Tonya and Beth would charge the same amount.

`5m=20+3m`

`5m-3m=20`

`2m=20`

Divide both sides by 2.

`m=10`

Therefore, for 10 miles Tonya and Beth would charge the same amount.