Chapter SH, Problem 8.4.2EP

To determine

To calculate: To find the rate of change of linear function

Answer to Problem 8.4.2EP

Rate of change is $\frac{1}{2}$

Explanation of Solution

Given information: Linear function is

  

Formula Used:

Rate of change of function is calculated as

  $Rateofchange=\frac{Changeiny-coordinates}{Changeinx-coordinates}$

Calculation:

Linear function is given as

  

Let two points on graph be $\left(10,5\right)$ and $\left(20,10\right)$ and $\left(30,15\right)$

Rate of change is calculated as

  $Rateofchange=\frac{Changeiny-coordinates}{Changeinx-coordinates}$

Thus, rate of change of given function is

  $\begin{array}{l}Rateofchange=\frac{10-5}{20-10}\\ Rateofchange=\frac{5}{10}\\ Rateofchange=\frac{1}{2}\end{array}$

Conclusion:

Hence, rate of change is $\frac{1}{2}$