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

Answer:

The system of inequalities is equal to

$12x+18y\geq280$

$x+y\leq 20$

Step-by-step 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