Average Rate of Change
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Average Rate of Change (ARC)?
Back
The Average Rate of Change is a measure of how much a quantity changes on average over a specific interval. It is calculated as the change in the value of a function divided by the change in the input value.
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 between two points (x1, y1) and (x2, y2), use the formula: ARC = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
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
4.
FLASHCARD QUESTION
Front
What does it mean if the Average Rate of Change is undefined?
Back
An undefined Average Rate of Change indicates that the x-values are the same, which means the slope of the line is vertical.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
FLASHCARD QUESTION
Front
Which interval has the largest Average Rate of Change: [13,14], [13, 17], [16, 17], [16, 19]?
Back
The interval [16, 19] has the largest Average Rate of Change.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
What is the slope of a horizontal line?
Back
The slope of a horizontal line is 0.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the slope of a vertical line?
Back
The slope of a vertical line is undefined.
Tags
CCSS.8.EE.B.5
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