Word Problem
Points
Chart
100
What is the formula for rate of change?
Change of Y / Change of X
or
(Y2 - Y1) / (X2 - X1)
100
(8,2) and (11,3)
1/3 = 0.333
100
Rate of change from 2 to 8?
5
200
Michael started a savings account with $300. After 10 weeks, he had $400. What is the rate of change of money in his savings account per week?
$10 per week
200
(8,0) and (8, 6)
6
200
Rate of change from 0 to 2 seconds?
2.5 ft per second
300
The value of Tony's investment was $1140 on January 1st. On this date three years later, his investment was worth $1824. What is the average rate of change?
$228 per year
300
(15,11) and (31, 43)
2
300
Rate of change from 20 to 40 minutes?
-2 gallons per minute
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
400
(31, 43) and (15,11)
2
400
Rate of change from 5 apples to 10?
2/5 = $0.40 per apple
500
After 30 baseball games, Derek Jeter had 25 hits. If after 100 games he had 80 hits, what is his average hits per baseball game.
55/70 = 11/14 = ~0.79
500
(1, 23) and (31,8)
-1/2 = -0.5
500
Rate of change from 0 hours to 12 hours?
5/2 = 2.5 miles per hour