Question

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Slope in Real-World Problems Quick Check
3 of 53 of 5 Items




Question
A linear graph of parking fees in dollars based on hours parked has the points (2,20)
and (6,44)
. How would you interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking?(1 point)
Responses

The parking fee rises by $10 with each additional hour.
The parking fee rises by $10 with each additional hour.

The parking fee rises by $8 with each additional hour.
The parking fee rises by $8 with each additional hour.

The parking fee rises by $6 with each additional hour.
The parking fee rises by $6 with each additional hour.

The parking fee rises by $7.33 with each additional hour.

Answer 1

To find the slope of the linear graph defined by the points (2, 20) and (6, 44), we can use the formula for slope, which is:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, \( (x_1, y_1) = (2, 20) \) and \( (x_2, y_2) = (6, 44) \).

Substituting these values into the formula:

\[
\text{slope} = \frac{44 - 20}{6 - 2} = \frac{24}{4} = 6
\]

The slope of the graph is 6, which means that the parking fee rises by $6 with each additional hour of parking.

Therefore, the correct interpretation is:

**The parking fee rises by $6 with each additional hour.**