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
how about
c = 5f + 75
To represent the problem, we can start by writing an equation that relates the total cost (c) to the number of friends attending the party (f).
The total cost consists of two parts: the cost of the lane ($75) and the cost for shoes per person ($5 per person). Since each friend needs shoes, the total cost for shoes can be written as 5 multiplied by the number of friends (5f).
Adding up the cost of the lane and the cost for shoes, the equation can be written as:
c = 75 + 5f
Now, let's determine the dependent variable in this equation. The dependent variable is the variable that changes based on the other variable(s) in the equation. In this case, the dependent variable is the total cost (c) because it is determined by the number of friends attending the party (f). As the number of friends change, the total cost will also change accordingly.