Question

A group of friends go to the movie theater and purchase snacks. The cost for snacks is $10 for popcorn plus $3 per person for candy.
Let p represent the number of people in the group.
Part 1: Write an expression to represent the total amount spent on snacks at the theater.
Part 2: The group of friends were willing to spend at most $40 total. Using your expression in Part 1, write an inequality to represent this situation.
Part 3: Assume the group of friends consists of 5 people. Evaluate the inequality you wrote from Part 2, Then, decide if the group of friends stayed within their budget. show your work AND justify your answer

Answer 1

Part 1:
Expression: 10 + 3p

(10 for popcorn + $3 per person)

Part 2:
Inequality (at most $40): 10 + 3p ≤ 40

Part 3:
Let p = 5. Substitute into the inequality:
10 + 3(5) ≤ 40
10 + 15 ≤ 40
25 ≤ 40

This is true. The group spent $25, which is less than $40, so they stayed within their budget. (They have $40 − $25 = $15 remaining.)