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? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

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? (4 points)

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? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

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? (4 points)

anonymous · Answer

I think you mean f(n) = 8(1.05)^n,

a starting height of 8 and a growth of 5% per day for n days.

11.26 = 8 (1.05)^n  will tell you how many days he studied it.

log(11.26/8) = n log(1.05)   solve to find n

Perhaps, though this is just linear equation 

y = 8(1.05)(n) which would have a slope of 8.40 and intercept =0.

anonymous · Answer

what part s this ? @douglaswinslowcooper