11. define the variables for the amount of money joseph has to spend on snacks and describe the constraint…

11. define the variables for the amount of money joseph has to spend on snacks and describe the constraint for the following situation. joseph is going to the movies with his friends. he wants to get both candy and popcorn as a snack. he was given $10 to spend on snacks. c = cost of candy and p = cost of popcorn; 0 ≤ c + p ≤ 10 c = cost of candy and p = cost of popcorn; 0 ≥ c - p ≤ 10 c = cost of candy and p = cost of popcorn; 10 ≤ c + p ≤ 20 c = cost of candy and p = cost of popcorn; 0 ≥ c + p ≥ 10

11. define the variables for the amount of money joseph has to spend on snacks and describe the constraint for the following situation. joseph is going to the movies with his friends. he wants to get both candy and popcorn as a snack. he was given $10 to spend on snacks. c = cost of candy and p = cost of popcorn; 0 ≤ c + p ≤ 10 c = cost of candy and p = cost of popcorn; 0 ≥ c - p ≤ 10 c = cost of candy and p = cost of popcorn; 10 ≤ c + p ≤ 20 c = cost of candy and p = cost of popcorn; 0 ≥ c + p ≥ 10

Answer

Explanation:

Step1: Analyze the context

Joseph has $10 to spend on candy (cost $c$) and popcorn (cost $p$).

Step2: Set up the inequality

The total amount he spends on candy and popcorn, $c + p$, must be less than or equal to the money he has, which is 10. Also, since costs cannot be negative, $c\geq0$ and $p\geq0$. The inequality representing the situation is $0\leq c + p\leq10$.

Answer:

$c =$ cost of candy and $p =$ cost of popcorn; $0\leq c + p\leq10$