Modeling Linear Relationships
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+6
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the rate of change in a linear relationship?
Back
The rate of change in a linear relationship is the ratio of the change in the dependent variable to the change in the independent variable, often represented as 'rise over run'.
Tags
CCSS.HSF-LE.A.1B
2.
FLASHCARD QUESTION
Front
How do you calculate the cost per unit in a linear relationship?
Back
To calculate the cost per unit, divide the total cost by the number of units. For example, if the cost is $110 for 100 units, the cost per unit is $110/100 = $1.10.
Tags
CCSS.HSF-LE.A.1B
3.
FLASHCARD QUESTION
Front
What is the equation of a line in slope-intercept form?
Back
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
What does the slope represent in a linear equation?
Back
The slope represents the rate of change of the dependent variable with respect to the independent variable.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
If a taxi charges $0.30 per mile and has a base fare of $1, what is the equation for the total cost?
Back
The equation for the total cost is y = 0.3x + 1, where y is the total cost and x is the number of miles.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
How do you determine the rate of change from a graph?
Back
To determine the rate of change from a graph, select two points on the line, calculate the difference in the y-values (rise) and the difference in the x-values (run), and then divide rise by run.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
What is a linear relationship?
Back
A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.
Tags
CCSS.HSF-LE.A.1B
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