SOLUTION: The function f(t)=5(1.4)^tdetermines the height of a sunflower (in inches) in terms of the number of weeks t since it was planted. Determine the average rate of change of the s

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Question 1125763: The function f(t)=5(1.4)^tdetermines the height of a sunflower (in inches) in terms of the number of weeks t since it was planted.
Determine the average rate of change of the sunflower's height (in inches) with respect to the number of weeks since it was planted over the following time intervals.
a. from t=0 to t=2 weeks, whats the average rate of change?
b. from t=2 to t=4 weeks, whats the average rate of change?

c. from t=4 to t=6 weeks, whats the average rate of change?
Based on your answers to part (a), which of the following are true? Select all that apply.
-The height of the sunflower is increasing at an increasing rate on the interval 0 -The graph of f is concave down on the interval 0 -The height of the sunflower is increasing at a decreasing rate on the interval
0 -The graph of f is concave up on the interval 0

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Given a function , the average rate of change from to is equal to the slope of the line through and , which is calculated by:



Your parts a, b, and c are just three arithmetic problems. You can use a calculator just as well as I can.


John

My calculator said it, I believe it, that settles it