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Question
the height of a plant, in centimeters, is modeled as a function of time, in days. consider this graph of the function. enter the average rate of change for the height of the plant, measured in centimeters per day, between day 0 and day 20.
Step1: Identify initial and final values
At day 0, height $h_0 = 20$ cm. At day 20, height $h_{20}=0$ cm.
Step2: Use average - rate - of - change formula
The average rate of change formula is $\frac{\Delta h}{\Delta t}=\frac{h_{20}-h_0}{20 - 0}$.
Substitute $h_0 = 20$ and $h_{20}=0$ into the formula: $\frac{0 - 20}{20-0}=\frac{- 20}{20}=-1$.
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$-1$ cm per day