Kate has a summer job as a swim instructor to earn her college tuition. She gets paid $4 per hour for the first 30 hours and $6 per hour for each hour in the week worked over 30 hours. Kate's goal is to earn at least $144 per week. How many hours of overtime per week will she need to achieve her goal?

Question

Diya Boone

Mathematics

8 June, 09:11

Kate has a summer job as a swim instructor to earn her college tuition. She gets paid $4 per hour for the first 30 hours and $6 per hour for each hour in the week worked over 30 hours. Kate's goal is to earn at least $144 per week. How many hours of overtime per week will she need to achieve her goal?

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Answers (1)

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Cindy · Answer 1

4 hours.

Step-by-step explanation:

According to the statement, you know that the amount she earns per week is equal to the first 30 hours for the price per hour that is $4 plus the number of hours over 30 hours multiply for its price that is $6. According to this, you can write the following equation where x is the hours of overtime per week:

4 (30) + 6x=144

120+6x=144

Now, you can solve for x:

6x=144-120

6x=24

x=24/6

x = 4

According to this, the answer is that Kate will need 4 hours of ovetime per week to achieve her goal.