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4-11.

Recently, Kalani and Lynette took a trip in California from Vacaville to Los Angeles. The graph at right represents their trip. Homework Help ✎ 1. Explain what each line segment in the graph represents.

Are they traveling at the same speed all throughout the trip?

A portion of the trip at a specific speed.

2. About how many miles is it from Vacaville to Los Angeles? How do you know?

Which axis represents miles?

About $400$ miles.

3. Using the graph shown above, sketch a graph that would represent their speed while traveling. Take your time to think this through carefully and be sure to label the axes.

To find the speed for a portion of the trip, divide the number of miles traveled in that portion by the number of hours it took to travel that portion.

Graph shown below - a speed of approximately $30$ mph for $1$ hour, approximately $80$ mph for the next $3$ hours, $0$ mph for $2$ hours, approximately $40$ mph for $2$ hours, and then approximately $20$ mph for the last $2$ hours; note that the step graph assumes instantaneous change of speed, which is not technically possible. 