Rate of Change and Initial Value (Verbal/Equations)

Flashcard
•
Mathematics
•
7th - 8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the initial value in a linear equation?
Back
The initial value is the y-intercept of the equation, representing the starting point of the function when x = 0.
2.
FLASHCARD QUESTION
Front
What does the slope represent in a real-world context?
Back
The slope represents the rate of change, indicating how much the dependent variable changes for a unit change in the independent variable.
3.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what does 'm' represent?
Back
'm' represents the slope of the line, which indicates the rate of change.
4.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what does 'b' represent?
Back
'b' represents the initial value or y-intercept of the line.
5.
FLASHCARD QUESTION
Front
If a gym charges a $35 membership fee and $5 per month, what is the initial value?
Back
The initial value is $35.
6.
FLASHCARD QUESTION
Front
If a phone costs $125 upfront and $50 per month, what is the initial value?
Back
The initial value is $125.
7.
FLASHCARD QUESTION
Front
What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).
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