Slope in Real-World Problems Quick Check

Question

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

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 $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 determine the slope of the linear graph representing the parking fees, we can calculate the slope using the two given points: (2, 20) and (6, 44). The formula for slope (m) is:

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

Substituting the values from the points:

• \( (x_1, y_1) = (2, 20) \)
• \( (x_2, y_2) = (6, 44) \)

Now plug in the values:

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

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

Therefore, the correct interpretation of the slope is:

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