You and your family attend your brother’s championship baseball game. Between innings you decide to go to the snack stand. You go to the snack stand with $15 and find that sodas are $2.50 and that popcorn is $3.75. Write an inequality that models the number of sodas you can buy if you get a bag of popcorn too. What is the maximum number of sodas you can buy in this situation?

Question

You and your family attend your brother’s championship baseball game. Between innings you decide to go to the snack stand. You go to the snack stand with $15 and find that sodas are $2.50 and that popcorn is $3.75. Write an inequality that models the number of sodas you can buy if you get a bag of popcorn too. What is the maximum number of sodas you can buy in this situation?
Responses

A	2.5x + 3.75 < 15; 4 sodas 2.5x + 3.75 < 15; 4 sodas

B	2.5x + 3.75 ≤ 15; 4 sodas2.5x + 3.75 ≤ 15; 4 sodas

C	2.5x + 3.75 < 15; 5 sodas2.5x + 3.75 < 15; 5 sodas

D	2.5x + 3.75 ≤ 15; 5 sodas

GPT 3.5 · Accepted Answer

The correct answer is A. 2.5x + 3.75 < 15; 4 sodas.

To determine the maximum number of sodas you can buy, you need to solve the inequality for the number of sodas (represented by x).

2.5x + 3.75 < 15

Subtract 3.75 from both sides of the inequality:

2.5x < 11.25

Divide both sides of the inequality by 2.5:

x < 4.5

Since you cannot have a fractional number of sodas, the maximum number of sodas you can buy is 4. Therefore, the correct answer is 4 sodas.