No.144 Rate of Change
POINT
The rate of change is the change in y divided by the change in x.
Example
1
For \(y=2x+3\), as \(x\) increases from \(1\) to \(5\), find (a) the change in \(y\), and (b) the rate of change.
Change in \(y=8\); rate of change \(=2\).
TRY
TRY 1
For \(y=4x-1\), find the rate of change as \(x\) increases from \(2\) to \(6\).
\(4\)
TRY 2
For \(y=-3x+5\), find the change in \(y\) and the rate of change as \(x\) increases from \(-1\) to \(3\).
Change in \(y=-12\); rate of change \(-3\).