Real-World Linear Equations
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that models a straight line when graphed. It can be written in the form 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.
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 line on the y-axis.
4.
FLASHCARD QUESTION
Front
How do you write an equation in slope-intercept form?
Back
An equation in slope-intercept form is written as y = mx + b, where m is the slope and b is the y-intercept.
5.
FLASHCARD QUESTION
Front
What is the significance of the initial fee in a real-world linear equation?
Back
The initial fee represents a fixed cost that does not change with the number of units (e.g., months, children) and is often the y-intercept in the equation.
6.
FLASHCARD QUESTION
Front
How can you determine the total cost after a certain number of months using a linear equation?
Back
You can substitute the number of months into the equation to find the total cost. For example, if the equation is y = 20x + 40, and x = 5, then y = 20(5) + 40 = 140.
7.
FLASHCARD QUESTION
Front
What does it mean if a linear equation has a negative slope?
Back
A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases. This shows an inverse relationship.
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