Chapter 4.2, Problem 27E

To determine

To calculate:The data in the table can be modeled by a linear equation. Explain. If possible, write a linear equation that represent $y$ as a function of $x$ .

Answer to Problem 27E

The data cannot be modeled by linear equation.

Explanation of Solution

Given information:The data in the table is:

$x$	$2$	$4$	$6$	$8$	$10$
$y$	$-1$	$5$	$15$	$29$	$47$

Calculation:Firstly find the rate of change for consecutive data pair in the table.

  $\begin{array}{l}\frac{5+1}{4-2}=\frac{6}{2}=3\\ \frac{15-5}{6-4}=\frac{10}{2}=5\\ \frac{29-15}{8-6}=\frac{14}{2}=7\\ \frac{47-29}{10-8}=\frac{18}{2}=9\end{array}$

The rate of change for consecutive data pair in the table is not same .

Therefore, the data cannot be modeled by linear equation.