Question

Derrick's Doggie Day Care charges a $12 registration fee plus $5 per hour for pet sitting. Pauline's Pooch Park charges $3 per hour plus an $18 registration fee. Which inequality below can be used to find the number of hours, h, for which the cost of Derrick's Doggie Day Care is at most the cost of Pauline's Pooch Park?

Answer 1

the number of hours is >4

Explanation:

given data

Derrick's Doggie

$12 registration fee plus $5 per hour for pet sitting.

the total charges for Derrick's Doggie will be

y=12+5h---------------1

Pauline's Pooch Park charges $3 per hour plus an $18 registration fee.

the total charges for Derrick's Doggie will be

y=18+3h---------------2

equating 1 and 2 we can solve for h which is the number of hours

12+5h=>18+3h

12-18=3h-5h

-8=-2h

h=8/2

h=>4