Question

Can someone help me with this problem please:

Write and solve the inequality for each word problem. Show work.

1. The waiter makes $10 per hour plus $65 in tips. He wants to earn AT LEAST $150. How many hours should he work?

2. Matteo was told he could spend AT MOST $80 to spend at the mall. He bought lunch for $25. He wants to buy phone cases for his friends. If the phone cases cost $5. How many phone cases can he buy?

Answer 1

11 phone cases !!! Hope this helps :)

Answer 2

Explanation:

1.
`10x+65\geq 150` and solve for x

`10x+65\geq 150\\`

-65 -65

`10x\geq 85`

/10 /10

`x\geq 8.5` The waiter has to work at least 8.5 hours.

2.
`5x+25\leq 80` and solve for x

`5x+25\leq 80`

-25 -25

`5x\leq 55`

/5 /5

`x\leq 11` Mateo can buy at most 11 phone cases.