# Calculus Course/Rate of Change

## Rate of ChangeEdit

Rate of Change is used to describe the ratio of a change in one variable compare to a change of another variable

If there is a function ${\displaystyle f(x)=y}$  then the rate of change of the function ${\displaystyle f(x)}$  correspond to the rate of change of variable z is

${\displaystyle {\frac {\Delta y}{\Delta x}}={\frac {\Delta f(x)}{\Delta x}}}$

## ExampleEdit

If there are two points ${\displaystyle (1,3)}$  and ${\displaystyle (2,7)}$

${\displaystyle {\frac {\Delta y}{\Delta x}}={\frac {\Delta f(x)}{\Delta x}}={\frac {7-3}{2-1}}=4}$