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?

Question

(1 point)
• 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 $10 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, we can use the formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

In this case, the points are \((2, 20)\) and \((6, 44)\). Plugging in these values:

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

Now we can calculate the slope:

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

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

The correct interpretation of the slope is: • The parking fee rises by $6 with each additional hour.