Algebra homework

Question

You need to earn at least $2000 in order to afford a special vacation. You’ve found 2 part-time jobs: painting fences at $15/hr and managing a laundry mat for $22/hr. However, you can only work a maximum of 8 hours per week. If x is the number of hours spent painting fences and y is the number of hours spent managing the laundry mat, which of the following system of inequalities best describes the scenario: ≤ ≥

A. 15x+22y≤2000

x+y≤ 8

x≥0

y≥0

B. 15x+22y≥2000

x+y ≥8

x ≥ 0

y ≥ 0

C. 15x+22y≥2000

x+y≤8

x ≥ 0

y ≥ 0

D. 15x+22y≤2000

x+y≥8

x≤ 0

y ≤ 0

Answer 1

At LEAST 2000 so >=

At most 8 hours so <=

that is a MAX of 8 hours

option C