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 (ARC)?
Back
The Average Rate of Change (ARC) measures how much a quantity changes on average over a specific interval. It is calculated as the change in the output value divided by the change in the input value.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
What is the formula for calculating ARC?
Back
The formula for Average Rate of Change is: ARC = (y₂ - y₁) / (x₂ - x₁)
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
If Pete's height increased from 40 inches to 48 inches from age 3 to age 5, what is the average rate of change?
Back
4 inches per year
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
FLASHCARD QUESTION
Front
What is the average rate of change from x=0 to x=1 if f(0) = 2 and f(1) = 5?
Back
3
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
FLASHCARD QUESTION
Front
Calculate the average rate of change of the function f(x) = 2x + 1 from x=1 to x=3.
Back
The average rate of change is 2.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FLASHCARD QUESTION
Front
If a car travels from 60 miles to 100 miles in 2 hours, what is the average rate of change in speed?
Back
20 miles per hour
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
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
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