Linear Functions
Flashcard
•
Mathematics
•
8th Grade
•
Hard
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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 creates a straight line when graphed. It can be expressed 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 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.
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
How do you write a linear equation from a word problem?
Back
Identify the variables, determine the relationship between them, and express it in the form y = mx + b.
5.
FLASHCARD QUESTION
Front
If a waitress earns a base salary plus a percentage of her tips, how can this be modeled as a linear function?
Back
The total earnings can be modeled as M = 0.75t + 100, where M is the total earnings, t is the total tips, and 0.75 represents the percentage of tips kept.
6.
FLASHCARD QUESTION
Front
What is the equation for the total cost of renting a paddle boat if there is a fixed fee and a variable fee?
Back
C = 2h + 15, where C is the total cost, h is the number of hours rented, 2 is the cost per hour, and 15 is the fixed deposit fee.
7.
FLASHCARD QUESTION
Front
How do you calculate the total cost after applying a discount?
Back
Subtract the discount from the original price. For example, if the original price is $6.50 per dozen and the discount is $1.50, the new price is $6.50 - $1.50.
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