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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?

User Samaa
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1 Answer

3 votes

Answer:

m+g
\leq40

12m + 14g
\geq250

Explanation:

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

User Ianjs
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