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Answer :
Answer:
Among these options, the correct inequality is option C, 147 + 21h > 252.
Step-by-step explanation:
To find the correct inequality that represents the number of hours the fruit and juice bar must stay open to reach its goal, let's analyze the given information.
The bar sold 21 glasses of fruit punch per hour, and by 5 p.m., they had sold 147 glasses. The goal is to sell more than 252 glasses.
Let h represent the number of hours they must stay open. Since they sell 21 glasses per hour, the total number of glasses sold after h hours would be 21h.
To reach the goal of selling more than 252 glasses, the total number of glasses sold (21h) must be greater than 252. Therefore, the correct inequality is:
21h > 252
Looking at the answer choices:
A. 21h < 252 + 147
B. 147 + 21h < 252
C. 147 + 21h > 252
D. 147 + 252 > 21h
Among these options, the correct inequality is option C, 147 + 21h > 252. This inequality represents that the sum of the glasses already sold (147) plus the glasses sold in the remaining hours (21h) must be greater than the goal of 252 glasses.
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