Chapter SH, Problem 9.7.11EP

To determine

The representation of table shows either linear or non-linear.

$x$	$y$
$5$	$7$
$10$	$13$
$15$	$19$
$20$	$25$

Answer to Problem 9.7.11EP

The table data shows the representation of the linear function.

Explanation of Solution

Given:

$x$	$y$
$5$	$7$
$10$	$13$
$15$	$19$
$20$	$25$

Concept Used:

In mathematics, a polynomial equation of the one degree that can be put in the form of the equation $f\left(x\right)=mx+b$ , then the function is known as the linear function. The graph of the linear function is always straight line.

A mathematical system of equation which is combine form of two or more variables which contains at least one equation which is not linear is known as the non-linear function.

The equation of the straight line is:

  $y=mx+b$

Know that on increasing or decreasing the value of $y$ the value of $x$ changesiff the function is linear.

Now, let’s check for the constant of the table values as:

So, observe the constant values are same so the table value shows the linear function.

Conclusion:

Hence, table values shows the linear function.