Algebra homework

Question

You need to earn at least $1700 in order to afford a special vacation. You’ve found 2 part-time jobs: painting fences at $12/hr and managing a laundry mat for $18/hr. However, you can only work a maximum of 13 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 your scenario:

A. 12x+18y ≥1700

x+y≥13

x ≥ 0

y  ≥ 0

B. 12x+18y≤ 1700

x+y≤ 13

x  ≥ 0

y  ≥ 0

C. 12x+18y ≤ 1700

x+y ≥ 13

x ≤ 0

y ≤ 0

D. 12x+18y ≥1700

x+y≤ 13

x ≥ 0

y ≥ 0

Answer 1

Since you need at least ( ≥ ) $1700 only A and D comply

Since you can work at most ( ≤ ) 13 hours on D complies