Rate Of Change
Constant Change
Average Rate of Change
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
what is the average rate of change? (5,1) and (9,9)
change in y/ change in x
slope: change in y/ change in x
9-1/9-5
8/4
=2
100
Vera uploaded a hilarious video to a funny videos website.
V(t) models the number of views the video got as a function of time t (in hours).
t 5 10 20
V(t) 70 180 500
When did the number of views increase faster? (between what hours?)
Between 10 and 20 hours since video was uploaded.
200
change in y/ change in x
change in y/ change in x
275-235/2014-2011 subtract
40/3
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
find the slope of the line that passes through the points (6,4) and (9,9)
slope: change in y/ change in x
slope: change in y/ change in x
9-4/9-6
5/3
200
P(t) models the number of people at the beach in Rio de Janeiro, Brazil, when it's t hours after midnight on a certain day.
t 9 10 15
P(t) 28 67 212
When did the number of people increase faster?
Between 9 am and 10 am.
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
Pick 2 random points. Plug into slope formula.
slope: Change in y/ change in x
Ex. (1,4) and (5,5)
slope: change in y/ change in x
5-4/5-1 subtract
1/4 simplify
300
What is the slope of the line that passes through (42,18) and (21,19)?
slope: change in y/ change in x
19-18/21-42
=1/-21
slope: 1/-21
300
FREE SPACE
YOU GET 300 POINTS!
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
400
Find the slope of the line that passes through (9,14) (8,12)
slope: change in y/ change in x
slope: change in y/ change in x
14-12/9-8 subtract
=2 simplify
400
I don't know what to put for this question...
YOU GET 400 POINTS