Question

Jason wants to earn at least $250 each week working during the summer.

Jason earns $6.00 an hour babysitting.
Jason earns $7.75 an hour working at a store.
He can work no more than 40 hours each week.
Let b equal hours of babysitting, and s equal hours working at the store.


Which system of inequalities models the constraints?





6.00b + 7.75s ≤ 40
b + s ≥ 250


6.00b + 7.75s ≥ 250
b + s ≤ 40


6.00b + 7.75s ≥ 40
b + s ≥ 250


6.00b + 7.75s ≤ 250
b + s ≤ 40

Answer 1

6.00b + 7.75s ≥ 250

b + s ≤ 40

Explanation:

6.00b + 7.75s ≥ 250---this represents how much he will make

b + s ≤ 40---these are his hours. B+S are his hours, and they can't be greater than 40 hrs, so ≤.