identify the independant and dependant variables and write a function: a ice rink charges $3.50 for skates and $1.25 per hour
To identify the independent and dependent variables in this scenario, we need to consider the factors that can change and affect each other.
Independent Variable: The independent variable is the factor that we can control or manipulate. In this case, the hours spent skating can be considered the independent variable because we can choose how long to skate.
Dependent Variable: The dependent variable is the factor that is affected by the independent variable. In this case, the total cost of skating is the dependent variable because it depends on the number of hours spent skating.
Now, let's write the function:
Let's call the number of hours spent skating as 'x'.
The cost of renting skates is a fixed amount of $3.50.
The hourly cost is $1.25 per hour.
So, we can write the function as follows:
Total Cost = Cost of renting skates + (Hourly Cost * Number of Hours)
Total Cost = $3.50 + ($1.25 * x)
or
C(x) = 3.50 + 1.25x
In this function, 'C(x)' represents the total cost of skating, and 'x' represents the number of hours spent skating.