Problem

Botany—Plant Growth: The number of seeds dispersed by a plot of dandelions each day in Apr...

Botany—Plant Growth: The number of seeds dispersed by a plot of dandelions each day in April can be modeled by

f(x) = 40xx2 1 ≤ x ≤ 30

where x represents the number of days in April, and f(x) represents the number of seeds dispersed.

(a) Evaluate f(7) and interpret. Does the graph of the model open up or down? How do you know this?


(b) On which day(s) of the month is the dispersion of seeds the greatest?


(c) Determine the average rate of change in the dispersion of the seeds between x = 24 and x = 29, and interpret.

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