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) = 15(1.04)n

Part A: When the scientist concluded his study, the height of the plant was approximately 20.53 cm. What is a reasonable domain to plot the growth function?

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 = 1 to n = 5, and what does it represent?

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) = 15(1.04)n

Part A: When the scientist concluded his study, the height of the plant was approximately 20.53 cm. What is a reasonable domain to plot the growth function? 

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 = 1 to n = 5, and what does it represent?

unklerhaukus · Answer

which variable do you think the domain will be ?

anonymous · Answer

20

unklerhaukus · Answer

twenty is not a variable

anonymous · Answer

n

unklerhaukus · Answer

yes 'the number of days' : n ,  is the independent variable, that goes on the x axis

unklerhaukus · Answer

what domain for  n  is considered in the experiment ?

anonymous · Answer

I dont know please help me

unklerhaukus · Answer

I guess the scientist began on day zero ,

anonymous · Answer

Yes i think so That the starting point

unklerhaukus · Answer

He said that he finished when the plant was 20.53 [cm],

For what values of  n  does the height function equal 20.53?

f(n) =15(1.04)^n 
f(End of Domain)= 20.53

unklerhaukus · Answer

If we call the end point  E,

f(E) = 15(1.04)^E  = 20.53

Can you solve this for E ?