Adrienne had a party at a local bowling alley. She spent seventy-five dollars for the lane and five dollars per person for shoes. Let c be the total cost of the lane and shoes, and let f be the number of friends at her party. Write an equation to represent the problem. Which is the dependent variable? Explain

Question

Adrienne had a party at a local bowling alley. She spent seventy-five dollars for the lane and five dollars per person for shoes. Let c be the total cost of the lane and shoes, and let f be the number of friends at her party. Write an equation to represent the problem. Which is the dependent variable? Explain

Answer 1

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Answer 2

To write an equation to represent the problem, we can break down the cost into two components: the cost of the lane (c) and the cost of shoes per person (5 dollars per person).

The equation can be represented as:
c = 75 + 5f

In this equation, "c" represents the total cost of the lane and shoes, and "f" represents the number of friends at Adrienne's party.

Now, let's determine which variable is the dependent variable in this equation. The dependent variable is the variable whose value depends on the value of the independent variable. In this case, the dependent variable is "c," which represents the total cost.

The value of "c" depends on the number of friends at the party ("f"). As the number of friends changes, the total cost will also change. Therefore, "c" is the dependent variable in this equation.