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, what system of inequalities could be used to represent the given conditions?

Answer 1

Answer:

$m+g\leq40\\\\12m+14g\geq250$

Step-by-step explanation:

Given : Jordan is paid $12 per hour for mowing lawns and $14 per hour for planting gardens.

Let m represents the number of hours mowing lawns and g represents the number of hours planting gardens.

He can work a maximum of 40 hours per week, and would like to earn at least $250 this week.

Then, the system of the inequality becomes

$m+g\leq40\\\\12m+14g\geq250$

Hence, the system of inequalities could be used to represent the given conditions :

$m+g\leq40\\\\12m+14g\geq250$