Question

Quiz 4: Solving Inequalities

Elijah wants to hire a painter and keep his total bill to at most $100. The painter charges a $60 flat fee to come to his house and then $15 per hour. Which inequality best
represents the situation if x represents the number of hours the painter works?

Answer 1

`15x+60\leq 100`

Explanation:

Let

x -----> the number of hours that the painter works

we know that

The inequality that represented this situation is equal to

`15x+60\leq 100`

solve for x

Subtract 60 both sides

`15x\leq 100-60`

`15x\leq 40`

Divide by 15 both sides

`x\leq 40/15`

`x\leq 2.67\ hours`

The maximum number of hours is 2