Question

A frozen yogurt store sells a small bowl of frozen yogurt for $2.50 plus $0.75 per topping. They sell a large bowl of frozen yogurt for $4.00 plus $0.50 per topping. Which inequality can be used to find t, the minimum number of toppings that can be added to each bowl so that the total charge for a small bowl of frozen yogurt is greater than the total charge of a large bowl of frozen yogurt?

A. 2.5t + 0.75 4 + 0.5t
D. 2.5t + 0.75 > 4t + 0.5

Answer 1

To find the minimum number of toppings that can be added to each bowl so that the total charge for a small bowl of frozen yogurt is greater than the total charge of a large bowl of frozen yogurt, we need to set up an inequality: 2.50 + 0.75t > 4.00 + 0.50t

Step-by-step explanation:

To find the minimum number of toppings that can be added to each bowl so that the total charge for a small bowl of frozen yogurt is greater than the total charge of a large bowl of frozen yogurt, we need to set up an inequality.

Let t represent the number of toppings. The total charge for a small bowl of frozen yogurt is $2.50 (base cost) plus $0.75 (per topping cost):

S = 2.50 + 0.75t

The total charge for a large bowl of frozen yogurt is $4.00 (base cost) plus $0.50 (per topping cost):

L = 4.00 + 0.50t

We want to find t when S > L. So, we set up the inequality:

2.50 + 0.75t > 4.00 + 0.50t