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)

Answer 1

@campbell_st

Answer 2

well time has to be positive... so the domain is n > 0

so grab a calculator and enter

8 x 1.05^12 is that is slightly more than the height on the last day, then that would be the upper limit for the domain

Answer 3

okay hold on 14.36

Answer 4

@zepdrix