Rate of Change

Flashcard
•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of rate of change?
Back
Rate of change is defined as the change in the value of a quantity divided by the change in another quantity, typically expressed as change of y / change of x.
2.
FLASHCARD QUESTION
Front
What does a rate of change of 0 m/s indicate?
Back
A rate of change of 0 m/s indicates that there is no change in position over time; the object is at rest.
3.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change?
Back
The average rate of change is calculated by taking the difference in the values of the function at two points and dividing it by the difference in the input values: (f(b) - f(a)) / (b - a).
4.
FLASHCARD QUESTION
Front
If a climber ascends from 400 feet to 700 feet in 4 hours, what is the average rate of change in feet per hour?
Back
The average rate of change is (700 - 400) / (6 - 2) = 75 feet per hour.
5.
FLASHCARD QUESTION
Front
What is the average rate of change of Pete's height from 3 years old to 5 years old if he grew 8 inches?
Back
The average rate of change is 8 inches / 2 years = 4 inches per year.
6.
FLASHCARD QUESTION
Front
What is the significance of the slope in a rate of change context?
Back
The slope represents the rate of change of a function; a steeper slope indicates a greater rate of change.
7.
FLASHCARD QUESTION
Front
If Taylor can write 25 words per minute, how many words can he write in 10 minutes?
Back
Taylor can write 25 words/minute * 10 minutes = 250 words.
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