A parking garage bases its prices on the number of hours that a vehicle parks in the garage.

The first two hours cost $2 per hour, between two hours and six hours cost $2 per hour, and all hours after that cost $1.

b
The first two hours cost $2 per hour, between two and four hours cost $1 per hour, and all hours after that cost $0.50.

c
The first two hours cost $4, between two hours and six hours cost $2 per hour, and all hours after that cost $1.

d
The first two hours cost $4, between two hours and six hours cost $1 per hour, and all hours after that cost $0.50.

You want an interpretation of the graph that is a constant 4 up to x=2, has a slope of 2 for 2 ≤ x < 6, and a slope of 1 for x ≥ 6. The vertical axis is labeled dollars, and the horizontal axis is labeled hours.

Graph interpretation

The constant value of y = 4 for x < 2 means the cost of parking is $4 for the first two hours.

The slope of 2 from x=2 to x=6 means the cost of parking is $2 per hour between 2 and 6 hours.

The slope of 2 for x ≥ 6 means the cost of parking is $1 per hour for more than 6 hours.

The description of c applies.

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Additional comment

The slope, or "unit rate", is the ratio of "rise" to "run". It can be simpler to choose a "run" of 1 and look at the corresponding "rise".

From x=2 to x=3, the cost rises from $4 to $6, a rise of 2 for the run of 1. That is why we say the slope is 2, or the "unit rate" in dollars per hour is $2 per hour.