Question

Ice Cold Creamery will give a free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt. Each bucket of ice cream costs $7.28, and each bucket of frozen yogurt costs $8.21. So far, Sarah has bought:

A. 7.28b + 8.21y ≤ 100
B. 8.21b + 7.28y ≥ 100
C. 7.28b + 8.21y ≥ 100
D. 8.21b + 7.28y ≤ 100

Answer 1

C. 7.28b + 8.21y ≥ 100. The correct inequality to represent Sarah's purchases is 7.28b + 8.21y ≥ 100.

Step-by-step explanation:

The correct inequality to represent the situation is option C. 7.28b + 8.21y ≥ 100.

To determine this, we need to set up an inequality that represents Sarah's purchases.

If Sarah buys b buckets of ice cream at $7.28 each and y buckets of frozen yogurt at $8.21 each, the total cost of her purchases would be 7.28b + 8.21y.

In order to get the free ice cream maker, she needs to spend at least $100. Therefore, the expression 7.28b + 8.21y must be greater than or equal to 100, giving us the correct inequality of 7.28b + 8.21y ≥ 100.