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Zeke is a cook at Maxine’s Café after school and earns $12.75 per hour. Zeke worked a lot of hours this week and charged $17.90 in meals. After paying for meals, Zeke’s earnings were less than $240. Which inequalities can be used to find \(h\), the maximum number of hours that Zeke could have worked this week? (Choose 2)

A. \(240 > 12.75h + 17.90\)

B. \(240 > 12.75h - 17.90\)

C. \(12.75h - 17.90 < 240\)

D. \(12.75h - 17.90 < 240\)

E. \(17.90 - 12.75h < 240\)

Answer :

Answer:

  • 240 > 12.75h – 17.90
  • 12.75h – 17.90 < 240

Step-by-step explanation:

Zeke's earnings are:

  • 12.75h - 17.90

This amount is less than 240.

This can be shown as:

  • 12.75h - 17.90 < 240 or
  • 240 > 12.75h - 17.90

The matching choices are B, C and D (note C and D are given same, must be a typo)

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Rewritten by : Barada

The correct inequalities to find the maximum number of hours Zeke could work are 12.75h - 17.90 < 240, which means option C and D are correct.

Step by Step Solution:

Zeke is a cook at Maxine’s Café and earns $12.75 per hour. He spent $17.90 on meals, and his net earnings were less than $240. To find the maximum number of hours (h) Zeke could have worked, we need to set up and solve inequalities.

We are given:

  • Zeke’s hourly wage: $12.75
  • Cost of meals: $17.90
  • Net earnings limit: $240

Let’s set up the inequalities:

  1. Total earnings equation before meal cost: 12.75h. Subtracting meal cost: 12.75h - 17.90. Therefore, Zeke’s equation becomes: 12.75h - 17.90 < 240, which can also be written as 240 > 12.75h - 17.90.

Thus, the appropriate inequalities are:

  • Option C: 12.75h - 17.90 < 240
  • Option D: 12.75h - 17.90 < 240