Question

What is the rate of change in the y-values with respect to the x-values?

minutes per meter
minutes per meter
900 meters per minute
1,200 meters per minute

Answer 1

I don’t have the graph/table/equation you’re using, so I can’t compute the numeric answer yet. Tell me the two (or more) points or the equation/graph and I’ll compute it.

Meanwhile, here’s how to find the rate of change of y with respect to x and how to interpret the units:

- Formula: slope = (change in y) / (change in x) = (y2 − y1) / (x2 − x1).
- Units: the slope’s units are the units of y divided by the units of x.
- If y is measured in minutes and x in meters, the slope is in minutes per meter.
- If y is measured in meters and x in minutes, the slope is in meters per minute.
- Example: points (100 m, 5 min) and (700 m, 10 min): slope = (10 − 5) / (700 − 100) = 5 / 600 = 1/120 ≈ 0.008333 minutes per meter. If you prefer meters per minute (speed), invert that: 120 meters per minute.

Send the two points or the graph/equation and I’ll pick which of your answer choices is correct.