Chapter 9.8, Problem 42MR

To determine

To determine themodel function of the data given in the table.

Answer to Problem 42MR

The equation is $y=\left(0.2\right)x^2$

Explanation of Solution

Given information:

  

Plot the points on the graph.

  

Points of the line is (0, 0) which is the vertex of a parabola.

Here equation is in the form of $y=a{x}^2$

Now we know a point (1, 0.2) would satisfy the equation of parabola.

Hence put the values of points we get,

  $\begin{array}{l}0.8=a{\left(2\right)}^4\\ a=\frac{0.8}{4}\\ a=0.2\end{array}$

Hence the equation is $y=\left(0.2\right)x^2$