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A student earns $7.50 per hour at her part-time job. She wants to earn at least $200. Enter an inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal. Enter your response in the first response box. Enter the least whole number of hours the student needs to work in order to earn at least $200, Enter your response in the second response box.

Question

A student earns 7.50perhouratherparttimejob.Shewantstoearnatleast7.50 per hour at her part-time job. She wants to earn at least 200. Enter an inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal. Enter your response in the first response box. Enter the least whole number of hours the student needs to work in order to earn at least $200, Enter your response in the second response box.

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Solution

The inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal is 7.50h ≥ 200.

To find the least whole number of hours the student needs to work in order to earn at least 200,youwoulddivide200by7.50.Thisgivesyouapproximately26.67hours.However,sincewerelookingfortheleastwholenumberofhours,weneedtorounduptothenearestwholenumberbecauseshecantworkafractionofanhour.So,thestudentneedstoworkatleast27hourstoearnatleast200, you would divide 200 by 7.50. This gives you approximately 26.67 hours. However, since we're looking for the least whole number of hours, we need to round up to the nearest whole number because she can't work a fraction of an hour. So, the student needs to work at least 27 hours to earn at least 200.

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