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) = 10(1.02)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 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 = 1 to n = 5, and what does it represent? (4 points)

I need help on my part B.

Answer 1

is it
\[f(n)=10(1.02)^n\]?

Answer 2

ohh. yes

Answer 3

When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function?

for the domain, start at \(n=0\) and go up to the solution of \(10(1.02)^n=11.04\)
we can solve that if you like

Answer 4

actually you can solve it
plug in different whole numbers for \(n\) until you get \(11.04\) try it and see

Answer 5

Is that for part b?

Answer 6

no

Answer 7

what part is that?