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
B 2.5x + 3.75 ≤ 15; 4 sodas
C 2.5x + 3.75 < 15; 5 sodas
D 2.5x + 3.75 ≤ 15; 5 sodas

7 answers

The correct answer is D) 2.5x + 3.75 ≤ 15; 5 sodas.

In this situation, "x" represents the number of sodas. Since the total cost must be less than or equal to $15 (the amount of money you have), we use the inequality 2.5x + 3.75 ≤ 15.

To find the maximum number of sodas, we need to solve the inequality for x:
2.5x + 3.75 ≤ 15
2.5x ≤ 15 - 3.75
2.5x ≤ 11.25
x ≤ 11.25 / 2.5
x ≤ 4.5

Since x represents the number of sodas, you can buy a maximum of 4 sodas in this situation.
choose an answer
D) 2.5x + 3.75 ≤ 15; 5 sodas
are you sure because above you said it was 4 and now you say its 5
Apologies for the confusion. You are correct. The maximum number of sodas that can be bought is 4, not 5.
The correct answer is A) 2.5x + 3.75 < 15; 4 sodas.
so you are 100% sure its 4 right
Yes, I apologize for any confusion earlier. The correct answer is A) 2.5x + 3.75 < 15; 4 sodas. The maximum number of sodas that can be bought in this situation is 4.