Modeling Linear Functions

Flashcard
•
Mathematics
•
12th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.HSF.LE.A.2
CCSS.8.F.B.4
2.
FLASHCARD QUESTION
Front
What does the slope of a linear function represent?
Back
The slope of a linear function represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear function?
Back
The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
What does a positive correlation indicate in a graph?
Back
A positive correlation indicates that as one variable increases, the other variable also increases. The graph will slope upwards from left to right.
Tags
CCSS.HSF-LE.A.1B
5.
FLASHCARD QUESTION
Front
What does a negative correlation indicate in a graph?
Back
A negative correlation indicates that as one variable increases, the other variable decreases. The graph will slope downwards from left to right.
Tags
CCSS.HSF-LE.A.1B
6.
FLASHCARD QUESTION
Front
What is the meaning of the slope in the equation y = -2x + 7?
Back
In the equation y = -2x + 7, the slope of -2 means that for each hour of mowing, the mower is predicted to use 2 gallons of gas.
Tags
CCSS.HSF.LE.B.5
7.
FLASHCARD QUESTION
Front
How do you determine the correlation from a scatter plot?
Back
To determine the correlation from a scatter plot, observe the direction of the points: if they trend upwards, it's positive; if they trend downwards, it's negative; if they are scattered without a clear trend, there is no correlation.
Tags
CCSS.HSF-LE.A.1B
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