Comparing Linear and Exponential Growth Patterns for Long-Term Results

Comparing Linear and Exponential Growth Patterns for Long-Term Results

Assessment

Interactive Video

Mathematics

1st - 6th Grade

Hard

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The video tutorial explains the differences between linear and exponential growth patterns. Linear growth involves adding a constant amount over time, while exponential growth involves multiplying by a constant factor. Growth by percentage is a form of exponential growth. In the long run, exponential growth surpasses linear growth. The tutorial provides an example comparing two salary options, illustrating that exponential growth will eventually exceed linear growth, even if the initial amount is smaller.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

In the long run, why does exponential growth always exceed linear growth?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Given two salary options, how would you determine which one is better in the long run?

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