Question

Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked.

Part A
Choose the equation that can be used to find the number of miles m for which Tonya and Beth would charge the same amount.

A. 20 + 3m = 5m
B. 20 = 3m + 5m
C. 20 + 5m = 3m
D. 20 + m = 8m
Part B

m =
miles

Answer 1

A

Explanation:

Answer 2

Let the dog is walked m miles.

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

Equation becomes:
`20+3m`

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

Equation becomes:
`5m`

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Part A:

The equation that can be used to find the number of miles m for which Tonya and Beth would charge the same amount.

`20+3m =5m`

Part B:

Solving for m;

`20+3m =5m`

`5m-3m=20`

=>
`2m=20`

=> m = 10

Hence, both would charge the same amount for 10 miles.