Question

Medal And Fan

Answer 1

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) = 12(1.03)^n
Part A: When the scientist concluded his study, the height of the plant was approximately 16.13 cm. What is a reasonable domain to plot the growth function?

Answer 2

\(\normalsize\color{black}{ \bf f(n) = 12(1.03)^n }\)

\(\normalsize\color{black}{ \bf 16.13 = 12(1.03)^n }\)

1) Divide both sides by 12,
2) Hit both sides with the log, and solve

Answer 3

Thanks

Answer 4

Part B: What does the y-intercept of the graph of the function f(n) represent?
Part C: What is the average rate of change of the function f(n) from n = 3 to n = 10 and what does it represent?

Answer 5

@ShaunVon

Answer 6

@SolomonZelman

Answer 7

B. when the height of the plant is zero. (b/c f(n) representing the plant's height is the same as y)

C. Plug in 3 and 10 for n and tell me what you get for f(n) first to continue.

Answer 8

C. is it .43

Answer 9

??

Answer 10

??

Answer 11

43 average rate ?

Answer 12

43% increase

Answer 13

% ?? DO what I told you.

Plug in 3 for n and tell me what you get for f(n), and plug in 10 for n, and tell me what you get for f(n)

Answer 14

3 : 13.11
10: 16.13

Answer 15

so from 3 to 10 you moved 3.02

Now there are 7 units on the x-axis between 10 and 3.

Well you can refer to them as intervals [3,4] [4,5] [5,6] [6,7] [7,8] [8,9] [9,10] too.

30.2 / 7 that simplified would give you the AVERAGE RATE FROM THREE TO TEN

Answer 16

ok i got it do u have time for one more.