Question

Write a linear cost function for the situation. Identify all variables used.A parking garage charges 55 dollars plus 45 cents per​ half-hour.A linear cost function for the situation is C(x)equals=Identify all variables used. Choose the correct answer below. a.​C(x) represents the cost for using the parking garage for x hours. b.C(x) represents the number of​ half-hours the parking garage was used after paying x dollars. c.​C(x) represents the cost for parking x cars in the parking garage d.​C(x) represents the cost for using the parking garage for x​ half-hours.

Answer 1

A linear cost function for the parking garage situation is C(x) = 55 + 0.45x, where x is the number of half-hours and C(x) represents the total parking cost for x half-hours.

Step-by-step explanation:

To write a linear cost function for the situation where a parking garage charges $55 plus 45 cents per half-hour, we need to identify the variables first. Let's define x as the number of half-hours a car is parked, and C(x) as the total cost of parking for x half-hours. The given situation establishes a fixed charge plus a variable charge that depends on the duration of parking.

The linear cost function is therefore C(x) = 55 + 0.45x. This represents the initial charge plus the cost per half-hour multiplied by the number of half-hours.

The correct identification of variables used is option d: C(x) represents the cost for using the parking garage for x half-hours.