Rate of Change in Tables and Graphs

Flashcard
•
Mathematics
•
7th Grade
•
Hard
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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.
2.
FLASHCARD QUESTION
Front
What does it mean for a table to be linear?
Back
A linear table shows a constant rate of change, meaning the differences between consecutive values are the same.
3.
FLASHCARD QUESTION
Front
What does it mean for a graph to be non-linear?
Back
A non-linear graph does not have a constant rate of change; the slope varies at different points.
4.
FLASHCARD QUESTION
Front
How do you determine the rate of change from a table?
Back
To find the rate of change, calculate the difference in the dependent variable divided by the difference in the independent variable.
5.
FLASHCARD QUESTION
Front
What is an example of a linear relationship in a table?
Back
A table where the values increase by the same amount each time, such as (1, 2), (2, 4), (3, 6) where the rate of change is 2.
6.
FLASHCARD QUESTION
Front
What is an example of a non-linear relationship in a graph?
Back
A graph that curves, such as a parabola, where the rate of change is not constant.
7.
FLASHCARD QUESTION
Front
What is the formula for calculating the slope of a line?
Back
Slope (m) = (change in y) / (change in x).
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