Question

A bamboo shoot is 20 inches tall at day 0 and grows 24 inches each day. which function(s) shown below can be used to determine height, f(n), of the bamboo after n days?

I. f(n)=24n+20
II. f(n)=24n+20(n-1)
III. f(n)=f(n-1)+24 where f(0)=20

Answer 1

The only correct answer is I. f(n)=24n+20

Answer 2

The correct answer is option I

Explanation:

Initial height of bamboo
`= 20 in\\`

Height of bamboo grows by
`24 in \\` every day

Let "n" be the number of days

So the height of bamboo after "n" days is

`f(n) = 20 + 24n\\`

Thus, the correct answer is option I