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? (4 points)

Answer 1

At day 0 the height of the plant = 12 cm

Calculate how many days  to get to 16.13 cm:-
16.13  = 12(1.03)^n

1.03^n = 16.13 / 12 = 1.34417
n = ln 1.34417 / ln 1.03  = 10  days

I would think that a reasnable domain would be   0 =< n <= 100