Rate of Change
Slope from 2 Points
Rate Of Change-Graphs
Slope From Graphs
100
A car accelerates to 30 mph in 180 feet.
What is 1 mph for every 6 feet?
100
(5,1) and (9,9)
What is 2?
100
What is the rate of change?
What is $100 per deposit?
100
What is the slope?
What is -1/2?
200
3 bags of rice cost $6.75 and 5 bags of rice cost $11.25.
What is $2.25 per bag of rice?
200
(2,-3) and (5,-15)
What is -4?
200
What is the rate of change?
What is $5 per week?
200
What is the slope?
What is 4/3?
300
A swimming pool has 200 gallons of water and then 8 minutes later it has 360 gallons of water.
How many gallons are being filled every minute?
What is 20 gallons of water per minute?
300
(-2,5) and (4,19)
What is 7/3?
300
What is the rate of change?
Slope: 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
300
What is the slope?
What is 2/3?
400
Janice has typed 32 words. 2 minutes later she has typed 68 total words.
What is the rate she is typing at?
What is 18 words per minute?
400
(-2,-9) and (-7,-21)
What is 12/5?
400
What is the rate of change?
What is -1/10 inches per minute?
400
What is the slope?
What is -1/2?
500
An employee earns $28.50 after 3 hours and $237.50 after 25 hours.
What is $9.50 per hour?
500
(42,18) and (21,19)
What is -1/21?
500
What is the rate of change?
What is -4/3 bottles per gift basket?
500
What is the slope?
What is -1/2?