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A bamboo shoot is 20 inches tall at the zero and gross 24 inches each day which functions show below can be used to determine height F(n) of the bamboo after n days

A bamboo shoot is 20 inches tall at the zero and gross 24 inches each day which functions show below can be used to determine height Fn of the bamboo after n da class=

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aiatlilley
it is definitely D because on part 1 n=24n+20 and if n equals 0 than 24 (0) +20= 20 and that is true. on part 2 if n =0 than 24 (0)+ 20 (0-1)=20 than 20 (-1)=20 -20= 20. that statement is false because-20 does not equal 20. AND for part 3 n=1 and f (1-1) + 24= 44 so f (0) + 24 =44 and keep in mind f (0) equals 20 so 44=44 because 24+20 is 44. so that is a true statement too

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 111 hold true

Option D is the right answer.