The depth of a river changes after a heavy rainstorm. Its depth, in feet, is modeled as a function of time,...

Question

18. The depth of a river changes after a heavy rainstorm. Its depth, in feet, is modeled as a function of time, in hours. Consider this graph of the function.
What is the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18?

SnapAndSolve AI · Accepted Answer

To find the average rate of change, we use the formula:

Average Rate of Change = (Change in Depth) / (Change in Time)

From the graph, at hour 9, the depth is approximately 18 feet, and at hour 18, the depth is approximately 21 feet.

Change in Depth = 21 - 18 = 3 feet

Change in Time = 18 - 9 = 9 hours

Average Rate of Change = 3 feet / 9 hours = 0.33 feet per hour

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The depth of a river changes after a heavy rainstorm. Its depth, in feet, is modeled as a function of time,...

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