Question

Malik works at a hardware store for $12 per hour and as a lifeguard for $18 per hour. He needs to earn at least $280 per week, but he can work no more than 20 hours in total. Write a system of inequalities that represents this situation. Help please! Thanks :)

Answer 1

The system of inequalities is equal to

`12x+18y\geq280`

`x+y\leq 20`

Explanation:

Let

x-----> the number of hours that Malik works at a hardware store

y-----> the number of hours that Malik works as a lifeguard

we know that

`12x+18y\geq280` -----> inequality A

`x+y\leq 20` -----> inequality B

Using a graphing tool

The solution is the shaded area

see the attached figure