Rate Of Change
Slope
Average Rate Of Change
100
Change in value is weight of winning dogs from 2013 and 2010 ( 50 and 35). Change in time is 2010-2013
50-35/ 2013-2010 subtract
15/3 = 5 simplify
100
slope formula: change in y/ change in x
Pick two points on the line such as (0,20) and (10,40). Plug into slope formula.
Change in y is 40 subtracting 20. Change in x is 10 minus 0
40-20/ 10-0 Plug coordinates into slope formula
20/ 10= 2 Subtract + Simplify
100
A retail store is having a sale on tank tops. At 2:00PM, the store has sold 15 tank tops. At 5:00PM, the store discovers that it has sold 57 tanks.
What is the average rate of change between 2:00PM and 5:00PM
Rate = (57-15)/(5-2)
Rate = 42 / 3
Rate = 14 / 1
The store sold an average of 14 tank tops per hour between 2:00PM and 5:00PM
200
change in y/ change in x
change in y/ change in x
275-235/2014-2011 subtract
-40/3 or -13.33333333
200
Hint: Pick two random points, plug into slope formula
Slope: Change in y/ change in x
Ex. (0,30) and (10,50)
Slope: change in y/ change in x
50-30/10-0 subtract
20/10 simplify
=2
200
FREE SPACE
Rate =
(16-34)/(4-2
Rate =
-18/2
Rate = -9
The West Nile Virus DECREASED by an average of 9 cases per month between month 2 and 4.
300
rate of change: change in y/ change in x
change in y/ change in x
24-18/ 2014-2012 subtract
6/2 simplify
=3
300
Identify the constant rate of change for the given table.
The rate of change is $8 per car.
Change in y's = +$40
Change in x's = 5 cars
Rate =
($40)/(5 cars)=($8)/(1car)
300
After 30 baseball games, A-Rod had 25 hits. If after 100 games he had 80 hits, what is his average hits per baseball game.
A-Rod averages 0.78 hits per baseball game.
400
rate of change: change in y/ change in x
rate of change: change in y/ change in x
21-17/2009-2007 subtract
4/2 simplify
=-2
400
What is the constant rate of change? Pick 2 random points. Plug into slope formula. Slope: change in y/change in x
Ex. (6,4) and (9,6)
slope: change in y/ change in x
6-4/9-6 simplify
2/3 subtract
2/3 or 0.66666666
400
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
75 feet per hour during this portion of the hike.