November 09, 2016
Today we will be:
Learning about Change,
Percentage Change, and Average
Rates of Change
Change
If a quantity changes from a value of m to a value of n over a
certain interval from a to b, then,
The change in quantity is found by subtracting
the first value from the second
November 09, 2016
Percentage Change
If a quantity changes from a value of m to a value of n over a
certain interval from a to b, then,
The percentage change is the change divided
by the first value and then multiplied by 100
Average Rate of Change
If a quantity changes from a value of m to a value of n over a
certain interval from a to b, then,
The average rate of change is the change
divided by the length of the interval
November 09, 2016
Interpreting Descriptions of Change
- When? Specify the interval
- What? Specify the quantity that is changing
- How? Indicate whether the change is an increase or decrease
- By how much? Give the numerical answer labeled with units
Interpreting Descriptions of Change
Description
Units
Change
output units
Percentage Change
percent
Average rate of change*
output units per input units
*when stating an average rate of change, use the word average or
the phrase on average
November 09, 2016
Find the change in temperature from 7 A.M.
to 1 P.M.
From 7 A.M. to 1 P.M. the temperature in
degrees Fahrenheit, increased by 31
degrees.
Find the percentage change in temperature
between 3 P.M. and 6 P.M.
From 3 P.M. to 6 P.M. the temperature
decreased by 20.5 percent
November 09, 2016
Find the average rate of change in
temperature between 8 A.M. and 5 P.M.
Between 8 A.M. and 5 P.M. the average rate
of change of the Temperature in degrees
fahrenheit increased by 1.2 degrees F per
hour
On average, the temperature increased by
1.2 Degrees F per hour from 8AM to 5PM
1. Find the change in temperature from 10 A.M.
to 3 P.M.
2. Find the percentage change in temperature
between 7 A.M. and NOON
3. Find the average rate of change in temperature
between 10 A.M. and 2 P.M.
November 09, 2016
HW
Activities 3.1 (page 167)
#1-9, 14, 17, 21, 26a