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 sodas2.5x + 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

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1 answer
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Answer 1

Bot GPT 3.5 answered
5 months ago

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

To find the maximum number of sodas you can buy, you need to determine the number of sodas (represented by x) that satisfies the given inequality.

The cost of sodas is $2.50 each, and you have $15. If you buy x sodas, the total cost for sodas is 2.5x dollars.

You also decide to get a bag of popcorn, which costs $3.75.

The total amount you can spend is $15.

Based on this information, the inequality that models the number of sodas you can buy while also getting a bag of popcorn is:

2.5x + 3.75 < 15

To find the maximum number of sodas, you need to substitute the values for x in the inequality until you find a value that makes the inequality true.

If you substitute x = 4, the inequality becomes:

2.5(4) + 3.75 < 15
10 + 3.75 < 15
13.75 < 15

Since 13.75 is less than 15, the inequality is true.

Therefore, you can buy a maximum of 4 sodas in this situation.