Question

Tonyas 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.

Answer 1

Explanation:

given that tonya charges 20$ monthly fee and 3$ per mile of her dog-walking service.

and beth does not charge any monthly fee but charges 5$ per mile of the dog walked in.

let x be the number of miles dog has walked in a month.

the amount tonya will charge on x miles = fixed monthly fee + number of miles * charge per mile = 20+3x

and the amount beth will charge on x miles = 0+ 5*x = 5x.

we are asked to find the x-value for which beth chargeable amount = tonya chargeable amount

that is 5x = 20+3x

5x-2x = 20

2x=20

x=
`(20)/(2) = 10`

hence number of miles for which tonya and beth will charge the same amount is 10.