Chapter SH, Problem 8.4.1EP

To determine

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

Answer to Problem 8.4.1EP

Rate of change is $10$

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 $\left(1,30\right)$ and $\left(2,40\right)$ and $\left(3,50\right)$

Rate of change is calculated as

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

Thus, rate of change of given function is

  $\begin{array}{l}Rateofchange=\frac{40-30}{2-1}\\ Rateofchange=\frac{10}{1}\\ Rateofchange=10\end{array}$

Conclusion:

Hence, rate of change is $10$