Rate of Change in Tables

Flashcard
•
Mathematics
•
9th Grade
•
Hard
+1
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1.
FLASHCARD QUESTION
Front
What is the definition of rate of change?
Back
The rate of change is a measure of how much a quantity changes in relation to another quantity, often expressed as a ratio or a slope.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
How do you calculate the rate of change from a table?
Back
To calculate the rate of change, subtract the initial value from the final value and divide by the change in the independent variable.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
What does a constant rate of change indicate?
Back
A constant rate of change indicates that the relationship between the two quantities is linear, meaning it changes at a steady rate.
Tags
CCSS.HSF-LE.A.1B
4.
FLASHCARD QUESTION
Front
What is the formula for calculating the rate of change?
Back
Rate of Change = (Change in Quantity) / (Change in Time) or (y2 - y1) / (x2 - x1).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
FLASHCARD QUESTION
Front
If a table shows a decrease in values, what can be said about the rate of change?
Back
If the values decrease, the rate of change will be negative.
Tags
CCSS.HSF-LE.A.1B
6.
FLASHCARD QUESTION
Front
What does a non-linear rate of change mean?
Back
A non-linear rate of change means that the relationship between the quantities does not remain constant and can vary at different intervals.
Tags
CCSS.HSF-LE.A.1B
7.
FLASHCARD QUESTION
Front
Example: If a table shows values of 10, 7, 4, and 1, what is the rate of change?
Back
The rate of change is -3, calculated as (1 - 10) / (3 - 0).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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