8 - Rate of Change practice
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•
Mathematics
•
9th Grade
•
Hard
+1
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 is the change in the value of a quantity divided by the change in time or another variable. It is often expressed as a ratio.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change between two points?
Back
To calculate the average rate of change, use the formula: (f(b) - f(a)) / (b - a), where f(b) and f(a) are the values at points b and a, respectively.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
What does a positive average rate of change indicate?
Back
A positive average rate of change indicates that the quantity is increasing over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
FLASHCARD QUESTION
Front
What does a negative average rate of change indicate?
Back
A negative average rate of change indicates that the quantity is decreasing over the interval.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
FLASHCARD QUESTION
Front
If a climber is at 400 feet after 2 hours and 700 feet after 6 hours, what is the average rate of change?
Back
The average rate of change is 75 feet per hour.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
What is the significance of the steepness of a graph in relation to rate of change?
Back
The steepness of a graph indicates the rate of change; a steeper slope means a greater rate of change.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
In the context of a graph, what does a horizontal line represent?
Back
A horizontal line represents a rate of change of zero, indicating that the quantity is constant over that interval.
Tags
CCSS.HSF-LE.A.1B
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