Question

complete the statement that describes the situation. lightning lucys car is going miles per hour before she starts slowing. as shes slowing, the speed of her car decreases by miles per hour every second.

Explanation:

Step1: Find the initial speed (y - intercept)

The y - intercept is the value of y when x = 0. From the graph, when x = 0 (time slowing = 0 seconds), the speed y is 120 miles per hour. So the initial speed is 120 miles per hour.

Step2: Calculate the rate of decrease (slope)

We can use two points on the line. Let's take (0, 120) and (0.8, 100). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values, we get \(m=\frac{100 - 120}{0.8-0}=\frac{- 20}{0.8}=- 25\). The negative sign indicates a decrease, so the speed decreases by 25 miles per hour every second.

Answer:

Lightning Lucy's car is going \(\boldsymbol{120}\) miles per hour before she starts slowing. As she's slowing, the speed of her car decreases by \(\boldsymbol{25}\) miles per hour every second.