Average Rate of Change
Flashcard
•
Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the average rate of change?
Back
The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change?
Back
Average Rate of Change = (f(b) - f(a)) / (b - a), where [a, b] is the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
What is the unit of average rate of change?
Back
The unit of average rate of change depends on the context, often expressed as 'units of output per unit of input'.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
FLASHCARD QUESTION
Front
If a car travels 100 miles in 2 hours, what is its average rate of change?
Back
Average Rate of Change = 100 miles / 2 hours = 50 miles per hour.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
FLASHCARD QUESTION
Front
What does a positive average rate of change indicate?
Back
A positive average rate of change indicates that the function is increasing over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
What does a negative average rate of change indicate?
Back
A negative average rate of change indicates that the function is decreasing over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
What is the average rate of change from 0 to 5 if f(0) = 2 and f(5) = 12?
Back
Average Rate of Change = (12 - 2) / (5 - 0) = 10 / 5 = 2.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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