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 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? 12+5h≥3h+18 12 plus 5 h is greater than or equal to 3 h plus 18 5h+12>18+3h 5 h plus 12 is greater than 18 plus 3 h 12+5h<3h+18 12+5h<3h+18 12+5h≤18+3h 12 plus 5 h is less than or equal to 18 plus 3 h

Answer 1

`12 + 5h \leq 18 + 3h`

Explanation:

Given

Represent Derrick's with D and Pauline's with P

For D

Registration Fee = $12

Hourly Charges = $5

For P

Registration Fee = $18

Hourly Charges = $3

Required

Represent as an inequality such that D is at most of P

First, we need to represent both as an expression:

For D

`D: 12 + 5h`

For P:

`P:18 + 3h`

Since D is at most of P;

This implies that:

`D \leq P`

So, we have:

`12 + 5h \leq 18 + 3h`