This preview shows pages 1–2. Sign up to view the full content.
Class,
One of the most common examples of using the slope of a line is its use
as a
rate
.
Rate
≡
The amount that a quantity of something changes over time.
(Note:
≡
means “is defined as”)
Examples of where a quantity changed over time would be a child’s
height changing over time or profits from a business changing over
time. These are examples of
rates
.
If a child’s height changes linearly over time, then at any point in time, I
can calculate his height as:
Height = (Rate of Change) * (Time Interval) + Height at Time (t=0).
Do you see the similarity in the equation of a straight line (y = mx + b) ?
y = Height
x = Time
m = Rate of change
b = Initial Height or Height at Time (t=0).
Another familiar rate equation is to calculate Distance:
Distance = Velocity * Time, or
Distance = (Rate of moving) * (Time)
Here is an example from my work:
We have a pipe leak and the leak is getting worse every day. We know
that the pipe is leaking at a rate of 1 gallon per minute. At 30 minutes,
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 04/20/2011 for the course MATH 116 taught by Professor Mcmillian during the Spring '09 term at University of Phoenix.
 Spring '09
 mcmillian
 Math, Slope

Click to edit the document details