What is the rate of change?
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Mathematics
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8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The rate of change is a measure of how much a quantity changes in relation to another quantity. It is often represented as the slope of a line in a graph.
2.
FLASHCARD QUESTION
Front
What is slope?
Back
Slope is a measure of the steepness of a line, calculated as the rise over the run between two points on the line.
3.
FLASHCARD QUESTION
Front
How do you calculate the rate of change from a table?
Back
To calculate the rate of change from a table, find the difference in the dependent variable (y) and divide it by the difference in the independent variable (x) between two points.
4.
FLASHCARD QUESTION
Front
What does a positive rate of change indicate?
Back
A positive rate of change indicates that as the independent variable increases, the dependent variable also increases.
5.
FLASHCARD QUESTION
Front
What does a negative rate of change indicate?
Back
A negative rate of change indicates that as the independent variable increases, the dependent variable decreases.
6.
FLASHCARD QUESTION
Front
If the rate of change is 4, what does this mean?
Back
This means that for every unit increase in the independent variable, the dependent variable increases by 4 units.
7.
FLASHCARD QUESTION
Front
What is the formula for calculating slope?
Back
The formula for calculating slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.
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