Question

Jonathan needs to earn at least $175 next week and can work at most 20 hours. He earns $10 per jour at his lawn service job and $8 per hour at his job at the gym. Which of the following systems c inequalities represents this situation in terms of the number of hours he will work at his lawn service job, e, and the number of hours he will work at his job at the gym, g, next week?

Answer 1

Let L be the number of hours worked on the lawn service and G be the number of hours worked on a gym.

Since he can work at most 20 hours and the total amount of hours worked is L+G, then:

`L+G\le20`

Since Jonathan earns $10 for each hour working on lawn service and $8 for each hour working on the gym, the total amount of money that he earns is 10L+8G. Since he needs to earn at least $175, then:

`175\le10L+8G`

These two inequalities make up the system that describes this situation.