Question

Dan's dog walking job pays $15 per hour his job as a car wash attendant pays $400 each week Dan wants to know how many hours he needs to spend walking dogs to earn more than $520 in a week. Which three equalities can model this situation? select all the correct answers.

Answer 1

520<400+15x

15x>120

15x+400>520

Step-by-step explanation:

Pay of Dan's car wash attendant job =$400 per week

The amount he earns per hour walking dogs = $15

Let the number of hours spent walking dogs in a week = x

Therefore, total earning for walking dogs =$15x

Since he wants to earn more than $520, we have that:

`15x+400>520\text{ (Option F)}`

We can rewrite this as:

`520<400+15x\text{ (Option B)}`

If we collect like terms, we have:

`\begin{gathered} 520-400<15x \\ 120<15x \\ \implies15x>120\text{ (Option C)} \end{gathered}`

So the inequalities are:

0. 520<400+15x

,

1. 15x>120

,

2. 15x+400>520