Step-by-step explanation:
Part A:
Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:
The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.
An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.
The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.
Part B:
The function that represents the given situation is:
C(x) = 5x + 35
In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:
C(x) = 5x + 35
60 = 5x + 35
Subtract 35 from both sides:
60 - 35 = 5x + 35 - 35
25 = 5x
Divide both sides by 5 to solve for x:
[tex]\frac{25}{5} = \frac{5x}{5}[/tex]
x = 5
Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.
Note:
Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.
