Average and Instantaneous Rates of Change
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Mathematics
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9th - 10th Grade
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary difference between average and instantaneous rates of change?
Average rate is at a specific point; instantaneous is over an interval.
Average rate is over an interval; instantaneous is at a specific point.
Instantaneous rate is always higher than average rate.
Both are calculated the same way.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the gradient of a line related to rates of change?
It is unrelated to rates of change.
It is used only for instantaneous rates.
It represents the rate of change.
It only applies to linear graphs.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of drawing a tangent on a curve?
To measure the length of the curve.
To find the instantaneous rate of change.
To find the average rate of change.
To calculate the area under the curve.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of population growth, what does a rate of change of 175 people per year indicate?
The population decreases by 175 people each year.
The population increases by 175 people each year.
The population remains constant.
The population fluctuates unpredictably.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might the instantaneous rate of change be more informative than the average rate?
It captures specific changes at a point.
It provides a broader overview.
It ignores fluctuations.
It is easier to calculate.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the average rate of change calculated between two points on a graph?
By measuring the area under the curve.
By calculating the gradient between the two points.
By averaging the y-values.
By finding the tangent at one point.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common application of instantaneous rates of change?
Measuring total distance traveled.
Calculating average speed.
Analyzing specific moments in stock markets.
Predicting long-term trends.
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