Exploring Exponential Growth Models

This lesson explores how to write equations to model exponential growth in real-world scenarios. It begins with an example of bacteria growth, demonstrating how to use a multiplier and exponents to calculate the number of bacteria over time. The lesson then applies the same principles to financial growth, using a savings account example to illustrate the calculation of interest over time. The video concludes with a general formula for exponential growth, applicable to various situations.

What is the initial number of bacteria cells mentioned in the example?

• 5000 cells

• 1000 cells

• 500 cells

• 10000 cells

What is the daily growth rate of the bacteria?

• 75%

• 10%

• 25%

• 50%

How many times is the initial amount multiplied each day in the bacteria growth example?

• 1.5 times

• 2 times

• 1.25 times

• 2.5 times

What is the formula used to calculate the number of bacteria after 35 days?

• 5000 * 1.5^35

• 5000 + 1.5^35

• 5000 / 1.5^35

• 5000 - 1.5^35

What does the exponent represent in the bacteria growth equation?

• Number of bacteria

• Number of days

• Growth rate

• Initial amount

How much money does Seth start with in his savings account?

• $200

• $100

• $300

• $400

What is the annual interest rate of Seth's savings account?

• 5%

• 10%

• 3%

• 7%

What is Seth's balance after 10 years?

• $325.78

• $500

• $200

• $425.78

What is the general formula for exponential growth?

• y = a * (1 + r)^x

• y = a - (1 + r)^x

• y = a / (1 + r)^x

• y = a + (1 + r)^x

How much has the value of Leticia's coin collection increased annually?

• 12%

• 10%

• 5%

• 7%