You brake your car from a speed of 55 mph, and in doing so, your car's speed decreases by 10 mph every second. The table shows braking data that represent your car's speed versus the amount of time elapsed from the moment that you applied the brake.Elapsed Time (seconds)Speed (mph)145235325415Does the data represent a linear function? Why or why not?

The speed drops by 10 mph each second: from 55 to 45, then 45 to 35, then 35 to 25, and then 25 to 15. Because the change in speed is constant over equal one-second intervals, the average rate of change is constant, so the data represent a linear function. Choice A, “Yes, the average rate of change is constant,” is correct.

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