Modeling Exponential Growth with Two Variable Equations

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.

How can you express the multiplication of five 2's using exponents?

• 2 to the power of 10

• 10 to the power of 2

• 2 to the power of 5

• 5 to the power of 2

If a bacteria population doubles every hour, how many bacteria will there be after 3 hours if you start with 25?

• 50

• 100

• 200

• 400

What is the shorthand expression for multiplying 4983 by 2 nine times?

• 4983 times 9 to the 3rd power

• 4983 times 2 to the 9th power

• 4983 times 9 to the 2nd power

• 4983 times 2 to the 8th power

In the formula y = 4983 * 2^x, what does x represent?

• The initial number of bacteria

• The growth factor

• The final number of bacteria

• The number of hours

What is the initial value in the exponential growth equation for a virus that triples every hour starting with 30 specimens?

• 300

• 90

• 30

• 3

What is the growth factor in the exponential growth equation for a virus that triples every hour?

• 3

• 90

• 2

• 30

How would you model an exponential growth situation where a quantity triples every time period?

• y = initial value * 2^x

• y = initial value * 3^x

• y = initial value * x^3

• y = initial value * 3x