Question

Zeke is a cook that earns $12.75 per hour. Zeke worked a lot 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?
A) 240 > 12.75h + 17.90
B) 17.90 – 12.75h < 240
C) 12.75h – 17.90 <240
D) 240> 12.75h – 17.90
E) 12.75h – 17.90 <240

Answer 1

The correct inequality to find the maximum number of hours Zeke could have worked is C) 12.75h – 17.90 < 240.

Step-by-step explanation:

The question is about determining the maximum number of hours Zeke could have worked this week, given his hourly wage and the amount charged for meals which are to be subtracted from his total earnings. The equation that best represents this situation is his earnings from hours worked minus the cost of meals, which should be less than his total earnings of $240. Looking at the options provided, the correct inequality that represents this scenario is C) 12.75h – 17.90 < 240. This inequality represents Zeke's hourly earnings multiplied by the number of hours he worked, subtracting the cost of meals, and ensuring that the result is less than $240.