Consider the graph to the right.

a. Inwords, describe the function shown on the graph.

b.Find the slope of the graph and express it as a rate of change.

c. Briefly discuss the conditions under which a linear function is a realistic model for the given situation.

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A graph has a horizontal axis labeled Time (hours) from 0 to 5 in increments of 1 and a vertical axis labeled Rain Depth (inches) from 0 to 5 in increments of 1. A line that rises from left to right passes through the points (0, 0) and (1, 2).

a. Select the correct answer below.

A. According to thefunction, the rain depth decreases by 2 inches every 1 hour.

B. According to thefunction, the rain depth increases by 2 inches every 1 hour

C. According to thefunction, the rain depth decreases by 1 inch every 2 hours

D.According to thefunction, the rain depth increases by 1inch every 2 hours

b. Calculate the slope and represent it as a rate of change.

rate of change =

Select the correct answer below.

A.

It is a good model if the rainfall is changing for twohours, then constant for two hours.

B.

It is a good model if the rainfall is constant for two hours and then changing for two hours.

C.

It is a good model if the rainfall is constant for four hours.

D.

It is a good model if the rainfall is not constant four hours.