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) = 8(1.05)^n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 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 = 2 to n = 6, 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) = 8(1.05)^n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.26 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 = 2 to n = 6, and what does it represent?

satellite73 · Answer

guess the domain starts at zero, since it is time

satellite73 · Answer

ends for whatever $n$ gives $8(1.05)^n=11.26$ or so

neonclawzz · Answer

Do you know how to solve for n?