Question

The graph shows the altitude of a car as a driver descends down a mountain.


Which of these best represents the rate of change of this situation?







The car drives down the mountain at a rate of 325 feet per hour

The car drives down the mountain at a rate of 325 feet per hour


The car drives down the mountain at a rate of 1.667 feet per hour

The car drives down the mountain at a rate of 1.667 feet per hour


The car drives down the mountain at a rate of 187.5 feet per hour

The car drives down the mountain at a rate of 187.5 feet per hour


The car drives down the mountain at a rate of 250 feet per hour



give me the right answer to no dur answers

Answer 1

The rate of change represented by the graph is that the car drives down the mountain at a rate of 250 feets per hour.

The rate of change also called the gradient or slope is obtained using the relation :

Rate of change = change in y / change in x

Change in y = (y2 - y1)

Change in x = (x2 - x1)

From the graph :

y2 = 1500 ; y1 = 0

y2 = 1500 ; y1 = 0x2 = 6 ; x1 = 0

Hence,

Rate of change = (1500 - 0) / (6 - 0) = 1500 / 6 = 250

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