Question

Tonya's dog-walking service charges a flare rate of $18 per month, plus $2 permile that each dog is walked. Beth does not charge a monthly fee for herdog-walking service, but she charges $4 per mile that each dog is walked. Writeand solve an equation to find the number of miles for which Tonya and Bethwould charge the same amount.

Answer 1

The number of miles for which Tonya and Beth would charge the same amount is 9 miles.



Explanation:

Tonya's dog-walking service:

Flat rate per month = $18

charges per mile = $2

Let the number of miles = m

Total charge ($) = 2m + 18

Beth dog-walking service:

Flat rate per month = $0

charges per mile = $4

Let the number of miles = m

Total charge ($) = 4m + 0 = 4m

To determine the number of miles for which Tonya and Beth

would charge the same amount, we will equate both charges together:

2m + 18 = 4m

Collect like terms:

18 = 4m - 2m

18 = 2m

Divide through by 2

18/2 = m

m = 9

Therefore, the number of miles for which Tonya and Beth would charge the same amount is 9 miles.