Answer: 10 miles.
Step-by-step 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](https://tex.z-dn.net/?f=5m%3D20%2B3m)
![5m-3m=20](https://tex.z-dn.net/?f=5m-3m%3D20)
![2m=20](https://tex.z-dn.net/?f=2m%3D20)
Divide both sides by 2.
![m=10](https://tex.z-dn.net/?f=m%3D10)
Therefore, for 10 miles Tonya and Beth would charge the same amount.