A linear graph of parking fees in dollars based on hours parked has the points (2,20)

Question

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 determine the slope of the linear graph representing the parking fees, we can use the formula for slope, which is defined as:

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

Using the given points (2, 20) and (6, 44):

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

Now we can substitute these values into the slope formula:

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

Thus, 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.