Question

1. the graph below models sallys drive to the store. state an interval when sally is traveling at a constant speed. explain your reasoning.

Explanation:

Step1: Understand the concept of constant speed on a speed - time graph

On a speed - time graph, constant speed is represented by a horizontal line. This is because the speed (y - value) does not change over time (x - value).

Step2: Identify the horizontal line segment on the graph

Looking at the graph, we can see that from \(x = 5\) to \(x = 9\) (where \(x\) represents time in minutes), the \(y\) - value (speed in miles per hour) remains at \(35\) miles per hour.

Answer:

Sally is traveling at a constant speed in the interval \(5\leqslant x\leqslant9\) (where \(x\) is time in minutes). The reason is that on a speed - time graph, a horizontal line segment indicates that the speed (the \(y\) - value) does not change with respect to time (the \(x\) - value). In this case, the speed is \(35\) miles per hour from \(x = 5\) minutes to \(x=9\) minutes.