Web Analytics

Questions › Other

Other Asked by a SnapAndSolve user · about 1 hour ago

During college, Ariana works at both her college's career center and at a local coffee shop. She earns $16...

During college, Ariana works at both her college's career center and at a local coffee shop.
She earns $16 per hour at the career center and $24 per hour at the coffee shop. Ariana's
goal is to earn at least $1,200 per month. She can work at most 56 hours each month.
Ariana prefers working at the career center. What is the maximum number of hours that
Ariana can work at the career center each month while still meeting her monthly earning
goal?

Answer

Let x be her career center hours. To maximize x, she works all 56 available hours, including 56 − x hours at the coffee shop.

16x + 24(56 − x) ≥ 1,200
1,344 − 8x ≥ 1,200
x ≤ 18.

Answer: 18 hours. With 18 hours at the career center and 38 at the coffee shop, she earns exactly $1,200.

Have a similar question?

Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.

Solve my question free Homework help Find a tutor

More other questions