
Rate of Change
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Wayground Content
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15 questions
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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 a quantity changes in relation to another quantity, often expressed as a ratio or a fraction.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
How do you calculate the rate of change?
Back
Rate of Change = (Change in Value) / (Change in Time) or (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
If a car travels 60 miles in 1 hour, what is its rate of change in speed?
Back
Rate of Change = 60 miles / 1 hour = 60 miles per hour.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
FLASHCARD QUESTION
Front
What does a negative rate of change indicate?
Back
A negative rate of change indicates that the quantity is decreasing over time.
Tags
CCSS.HSF-LE.A.1B
5.
FLASHCARD QUESTION
Front
If the water level is decreasing at a rate of 0.25 meters per hour, how much will it decrease in 4 hours?
Back
Decrease = Rate of Change x Time = 0.25 meters/hour x 4 hours = 1 meter.
Tags
CCSS.HSF-LE.A.1B
6.
FLASHCARD QUESTION
Front
What is the significance of the slope in a graph?
Back
The slope represents the rate of change of the dependent variable with respect to the independent variable.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is an example of a real-world situation that involves rate of change?
Back
The speed of a car, the growth rate of a plant, or the rate at which water is being drained from a tank.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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