Rate of Change Quick Check

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the average rate of change?
Back
The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.
2.
FLASHCARD QUESTION
Front
How do you calculate the average rate of change?
Back
Average Rate of Change = (f(b) - f(a)) / (b - a), where [a, b] is the interval.
3.
FLASHCARD QUESTION
Front
What does a positive average rate of change indicate?
Back
A positive average rate of change indicates that the function is increasing over the interval.
4.
FLASHCARD QUESTION
Front
What does a negative average rate of change indicate?
Back
A negative average rate of change indicates that the function is decreasing over the interval.
5.
FLASHCARD QUESTION
Front
If a climber's altitude changes from 600 feet to 1000 feet over 4 hours, what is the average rate of change?
Back
100 feet per hour.
6.
FLASHCARD QUESTION
Front
What is the significance of a constant rate of change?
Back
A constant rate of change means that the function increases or decreases at the same rate over the entire interval.
7.
FLASHCARD QUESTION
Front
How do you interpret a rate of change of 2 feet per second?
Back
It means that for every second that passes, the quantity (e.g., depth) changes by 2 feet.
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