Chapter SH, Problem 9.9.8EP

To determine

To write the function that models the data.

Answer to Problem 9.9.8EP

  $y=1.2x^2$

Explanation of Solution

Given:

The given data is

  

Calculation:

Let the number of times be $x$ and the heightbe $y$ .

The model can be expressed as-

  $y=1.2x^2$

Substituting $x=0,1,\mathrm{2...}$ in $y=1.2x^2$

  $\begin{array}{l}y=1.2x^2\\ y=0\{x=0\}\\ y=1.2\{x=1\}\\ y=4.8\{x=2\}\end{array}$

Therefore equation is $y={(1.2)}^x$