How to find the constant k of rate proportionality

How to find the constant k of rate proportionality

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the concept of rate proportionality, where the rate of change is proportional to the current amount. It addresses the problem of finding the constant K when the amount triples every 11 hours. The instructor discusses the challenge of unknown initial and final values and demonstrates how to solve for K using examples. The process is simplified by using logarithms, and the tutorial concludes with a recap and final example to reinforce the learning.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the amount and the constant K in the context of exponential growth?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the concept of tripling relate to the calculation of K?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why the initial and final values can be chosen arbitrarily when calculating K.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the significance of using logarithms in the context of this problem.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps would you take to solve for K using the equation provided?

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