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?

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?

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) = 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? 

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?

tkhunny · Answer

You should start answering these questions.
A) How long does it take to get to 16.13 from 12?
B) Where are we when we start?
c) This is a slope calculation.  Go!