Linear Models

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear model?
Back
A linear model is a mathematical representation of a relationship between two variables that can be expressed in the form of a linear equation, typically y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope in a linear equation represent?
Back
The slope 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 equation?
Back
The y-intercept is the value of y when x is 0. It represents the starting point of the linear relationship on the y-axis.
4.
FLASHCARD QUESTION
Front
How do you find the total cost in a linear cost model?
Back
The total cost can be found using the equation c = mx + b, where m is the cost per unit, x is the number of units, and b is the fixed cost.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does the function f(n) = 12n + 500 represent?
Back
This function represents a linear relationship where the total amount given to charity increases by $12 for each additional student present, starting from a base amount of $500.
Tags
CCSS.HSF.LE.B.5
6.
FLASHCARD QUESTION
Front
How do you determine the number of students needed to reach a donation goal using a linear function?
Back
To find the number of students needed, set the function equal to the donation goal and solve for n.
Tags
CCSS.HSF.IF.A.2
7.
FLASHCARD QUESTION
Front
What is the significance of V(t) = 25000 - 3000t in the context of car value?
Back
This function represents the depreciation of a car's value over time, where V(t) is the value t years after purchase, starting from an initial value of $25,000 and decreasing by $3,000 each year.
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