7.4A Constant Rate of Change

Flashcard
•
Mathematics
•
7th Grade
•
Hard
+4
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1.
FLASHCARD QUESTION
Front
What is a constant rate of change?
Back
A constant rate of change refers to a situation where the change in one quantity is consistent with the change in another quantity over time, often represented as a linear relationship.
Tags
CCSS.HSF-LE.A.1B
2.
FLASHCARD QUESTION
Front
How do you write an equation for a constant rate of change?
Back
An equation for a constant rate of change can be written in the form y = mx + b, where m represents the rate of change and b is the y-intercept.
Tags
CCSS.HSF-LE.A.1B
3.
FLASHCARD QUESTION
Front
What does the slope of a line represent in a graph of a linear relationship?
Back
The slope of a line represents the constant rate of change between the two variables plotted on the graph.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
If a person types 25 words per minute, how can this be expressed mathematically?
Back
This can be expressed as the equation y = 25x, where y is the total number of words and x is the time in minutes.
Tags
CCSS.6.EE.C.9
5.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear equation?
Back
The y-intercept is the value of y when x is zero, indicating the starting point of the relationship on the graph.
6.
FLASHCARD QUESTION
Front
How can you determine the constant rate of change from a table of values?
Back
To determine the constant rate of change from a table, calculate the difference in the y-values divided by the difference in the x-values for any two points.
Tags
CCSS.HSF-LE.A.1B
7.
FLASHCARD QUESTION
Front
What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?
Back
The formula for calculating the slope (m) is m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
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