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

The indifference point is 10 miles.

Explanation:

Giving the following information:

Beth:

$5 per mile

Tonya's:

registration fee of $20

$3 per mile

First, we need to structure the income formulas:

Beth= 5x

Tonya= 20 + 3x

x= miles

Now, to determine the indifference point, we equal both formulas and isolate "x":

5x = 20 + 3x

2x= 20

x=10

The indifference point is 10 miles.

Beth= 5*10= $50

Tonya= 20 + 3*10= $50