Word Problem
Points
Chart
Exponents
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
100
52
25
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
200
73
147
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
300
write as an exponent
8x8x8x8x8
85
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
400
1004
100,000,000
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
500
what is an exponent
the number of times a number is multiplied by itself