Questions: Write a linear cost function for the situation. Identify all variables used. A parking garage charges 5 dollars plus 35 cents per half-hour. Identify all variables used. Choose the correct answer below. A. C(x) represents the number of hours the parking garage was used after paying x dollars. B. C(x) represents the cost for using the parking garage for x half-hours. C. C(x) represents the number of half-hours the parking garage was used after paying x dollars. D. C(x) represents the cost for parking x cars in the parking garage.

Solution Steps

The problem involves a parking garage that charges a fixed fee plus a variable fee based on time. The variables used are:

• \( C(x) \): The total cost of using the parking garage.
• \( x \): The number of half-hours the parking garage is used.

The parking garage charges a fixed fee of 5 dollars and an additional 35 cents per half-hour. The linear cost function can be written as: \[ C(x) = 5 + 0.35x \] where:

• 5 is the fixed cost (in dollars).
• 0.35 is the cost per half-hour (in dollars).
• \( x \) is the number of half-hours.

From the given options, the correct interpretation of the variables is:

• \( C(x) \) represents the cost for using the parking garage for \( x \) half-hours.

This corresponds to option B.

Final Answer