Adrienne had a pizza party at a local arcade. She spent twenty-four dollars for pizza and five dollars per person for games. Let c be the total cost of pizza and games, and let p be the number of people at her party. Write an equation to represent the problem. Which is the dependent variable? Explain.

c=5p+24

C is the dependent variable

To write an equation that represents the problem, let's break it down:

1. Adrienne spent twenty-four dollars for pizza. This is a fixed cost and does not depend on the number of people at the party. Therefore, we can represent the cost of the pizza as a constant value, let's call it "k".

2. Adrienne spent five dollars per person for games. The cost of games depends on the number of people at the party. For every person, it costs five dollars. So, the cost of games can be represented as "5p" (where "p" is the number of people at the party).

Now, we can combine the cost of pizza and games to get the total cost, "c". The equation representing the problem becomes:

c = k + 5p

In this equation, "c" is the dependent variable, as it depends on the number of people ("p") and the constant cost of the pizza ("k"). The cost of the party (c) is determined by the number of people attending (p). If we change the number of people, the cost will change accordingly.