Modeling Exponential Growth with Two Variable Equations

Modeling Exponential Growth with Two Variable Equations

Assessment

Interactive Video

Mathematics, Biology

1st - 6th Grade

Hard

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The video tutorial explains how to represent repeated multiplication using exponents, using examples of bacterial and viral growth to illustrate exponential growth. It introduces the concept of initial value and growth factor, and demonstrates how to model these situations with equations. The tutorial covers how to generalize exponential growth for any number of time periods.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when a species of bacteria doubles in population each hour?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the number of hours and the number of factors of 2 in the multiplication?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to generalize the equation for exponential growth when the number of hours is unknown.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the multiplication of bacteria after a certain number of hours be expressed mathematically?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the initial value in the context of exponential growth for the bacteria example?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the concept of a growth factor in exponential growth.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How would you model a situation where a virus triples in population each hour?

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