Adrienne had a pizza party at a local arcade. She spent for pizza and 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.
(cost of pizza per person + cost of games per person) p = C
C depends on how many people attended, how much pizza they ate and how many games that played.
c= 34
p= 30
To write an equation representing the problem, we can use the information given:
Adrienne spent $c for pizza and $p per person for games.
The total cost, c, includes the cost of pizza and games. Since the cost of pizza is fixed, it is not dependent on any other variables. However, the cost of games depends on the number of people at the party, denoted as p.
So, we can write the equation as:
c = (cost of pizza) + (cost per person for games) * p
The dependent variable in this equation is c (total cost), as it depends on the number of people, p.