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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

pur-new-sol

Answer:

It is given bamboo shoot is 20 inches tall when time is 0. It grows at the rate of 24 inches each day .

The y intercept b=20 and m= slope = 24.

Any equation can be written in the form y=mx+b where m is slope and b is y intercept.

The equation to determine height for n number of days can be written as

f(n)=24n+20

It can also be written as 24+the growth 1 day back or

F(n)=F(n-1)+24 where f(0)=20.

Among the given options equations 1 and 3 hold true