Question

Bamboo plants grow rapidy. A bamboo plant is 120 inches tailTomorrow it will be 134.2 inches tall, the next day it will be 148.4 inches tall, and on the next day it will be1626 inches tall. Which of the following models best illustrates this situation?

Answer 1

From the question

The Bamboo plant growth can be shown bellow

$120,134.2,148.4,162.6$

We are to find an equation that models the grwoth

The growth can be simplified as follows

$\begin{gathered} Day1=120\text{ inches tall} \\ \text{Day 2 = 134.2 = (120 + 14.2) inches tall} \end{gathered}$

also

$\begin{gathered} \text{Day 3 = 148.4 = 120 + 28.4 = 120 +2(14.2)} \\ \text{Day 4 = 162.6 = 120 + 42.6 =120 + 3(14.2)} \end{gathered}$

Therefore we can conclude that the function is

$f(x)=120+14.2x$

Where x is number of days