Question

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 8(1.05)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part C: What is the average rate of change of the function f(n) from n = 2 to n = 6, and what does it represent? (4 points)

Answer 1

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Answer 2

Thanks!!!

Answer 3

Can you help me with this??

Answer 4

yes

Answer 5

I need help on part 3

Answer 6

domain ==> n > 0 because it measures time

the y-intercept is the plant's initial height (@ n = 0)

Average growth rate from n = 2 to n = 6 is found by establishing the change in height and dividing by the length of time passing.

[ f(6) - f(2) ] / (6 - 2)


= [ 8(1.05)(6) - 8(1.05)(2)] cm / 4 days

= 33.6 cm / 4 days = 8.4 cm/day



note: you may want to verify your growth function, f(n). Growth is more often modeled with an exponential function. The procedure to determine "average rate" would be the same but f(6) and f(2) would be different values.

Answer 7

medal is best response

Answer 8

You copied this

Answer 9

@priyar

Answer 10

what help do u need?