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Average Rate of Change Problem

A car is moving from left to right along a road which lies along the straight line
3x + 4y = 12 in the xy-plane. (The x and y coordinates are measured in miles.) The following short table gives the x-coordinate of the car at several times:

t 3:00pm 3:10pm 3:15pm 3:30pm 4:00pm
x -28 -24 -20 -8 4

Determine the average rate of change of the distance of the car from the origin (0, 0) during the time period 3:10 to 3:15.

Solution Preview

At 3:10pm, the car is at x=-24. Since 3x+4y=12, then y=(12-3x)/4=21.
The distance between the car and ...

Solution Summary

This solution is comprised of a detailed explanation to determine the average rate of change of the distance of the car from the origin (0, 0) during the time period 3:10 to 3:15.

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