Question

Kevin started with 13$ and added 10$ every week what is the rate of change

Answer 1

The initial amount is $13; then, if x is the number of weeks, after x weeks Kevin will have $13+$10x. Therefore, the equation that models Kevin's money is

$y=13+10x$

In general, the slope-intercept form of a linear equation is

$\begin{gathered} y=mx+b \\ m\to\text{slope} \\ b\to y-\text{intercept} \end{gathered}$

Thus,

$\begin{gathered} \Rightarrow10x+13=mx+b \\ \Rightarrow m=10 \end{gathered}$

Therefore, the slope (rate of change) is $10 per week.