100 POINTS PLEASE HELP FAST
A researcher is following the growth if a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days

g(n)=10(1.02)^2

What is the average rate of change of the function g(n) from n=1 to n=5? Please show your work

Respuesta :

Answer:

Step-by-step explanation:

Given that the  height of the plant f(n), in cm, after n days:

To find n when f(n) = 11.04 cm

i.e. in 2.5 days

2) n cannot go upto infinity

If maximum growth is h, then domain is (0, )

3) Put n=0

y intercept = 10 cm.

4) This gives the initial height of the plant i.e. when n =0

5) Average rate of change = 10(1.04)^n ln 1.04

6) n =1,2,3,4,5

n 1      2               3        4                         5

f(n) 10.4 10.816 11.24864 11.6985856 12.16652902