Question

Jordan works for a landscape company during his summer vacation. He is paid $12 per hour for mowing lawns and $14 per hour for planting gardens. He can work a maximum of 40 hours per week, and would like to earn at least $250 this week. If m represents the number of hours mowing lawns and g represents the number of hours planting gardens, which system of inequalities could be used to represent the given conditions?

m+g≤4012m+14g≥250




m+g≥4012m+14g≤250




m+g≤4012m+14g≤250




m+g≥4012m+14g≥250

Answer 1

m+g≤40

12m+14g≥250

Explanation:

The sum of hours spent mowing (m) and hours spent panting (g) per week must be no more than 40 (that is, less than or equal to 40):

m+g≤40

The amount of money made by mowing is the amount of hours spent mowing multiplied by the amount of money paid per hour: 12m

The amount of money made by planting is the amount of hours spent planting multiplied by the amount of money paid per hour: 14g

The sum of the money from mowing (12m) and from planting (14g) must be at least $250 (that is, equal to or more than 250):

12m+14g≥250