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?

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

Answer 1

The question asks What is the MAXIMUM number of sodas you can buy with one popcorn for $15. Therfore, you want to spend less than or up to the $15. So, the equation would be < or = to $15.

Next, complete the equation. ..

2.5x + 3.75=15
2.5x=15-3.75
2.5x=11.25
x=11.25/2.5
x=4.5


Since you have enough money to only buy 4.5 cans, can you buy 4 or 5? HINT: it cannot be more than 4.5.