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In the context of the parking garage fee structure, what is the slope of the line representing the cost function?

A) $2
B) $5
C) 2
D) 5

User Swbeeton
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1 Answer

2 votes

Final answer:

The slope of the line representing the cost function is (B) $5

Step-by-step explanation:

The slope of a line representing a cost function in a parking garage fee structure indicates the rate at which costs increase as more time is spent in the garage. Given the options provided, numerical values for the slope represent the cost increase per unit of time. The provided example states the slope is defined by the price on the horizontal axis divided by the price on the vertical axis. Following this method, we can determine the slope by dividing the cost per hour by some fixed amount of parking time.

However, the example given about bus tickets and burger prices does not directly provide the information needed to determine the slope for the parking garage cost function. To provide an answer, we would need information about how much the parking garage charges per unit of time (hour, day, etc.) and how that charge is applied - for example, $2 or $5 per hour to park.

If this were the case, and the parking garage charged, say, $2 for each additional hour parked, the slope would be $2, as per option A. Similarly, if charged $5 per hour, the slope would correspond to option B.

User Achukrishnan
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