Exponential Growth and Bacteria Modeling

The video tutorial explains how to model the growth of bacteria using a continuous exponential growth function. Starting with 1,000 bacteria growing at a rate of 16% per day, the tutorial demonstrates how to set up the function P(T) = P0 * e^(kt), where P0 is the initial amount, k is the growth rate as a decimal, and T is time in days. The tutorial then applies this function to determine the number of bacteria after 30 days, using a calculator to evaluate the expression, resulting in approximately 121,510 bacteria.

What is the initial number of bacteria mentioned in the problem?

• 500

• 1,000

• 2,000

• 1,500

What is the growth rate of the bacteria per day?

• 16%

• 12%

• 20%

• 10%

Which mathematical function is used to model continuous growth?

• Quadratic function

• Logarithmic function

• Exponential function

• Linear function

In the function P(t) = P0 * e^(kt), what does 'P0' represent?

• Time period

• Growth rate

• Initial population

• Final population

How is the growth rate expressed in the exponential growth function?

• As a fraction

• As a whole number

• As a percentage

• As a decimal

What is the value of 'k' in the given problem?

• 1.6

• 16

• 0.16

• 0.016

What is the purpose of using a calculator in this problem?

• To determine the time period

• To evaluate the exponential expression

• To find the initial number of bacteria

• To calculate the growth rate

What is the approximate number of bacteria after 30 days?

• 121,510

• 110,000

• 130,000

• 100,000

Which button on the calculator is used to calculate e raised to a power?

• 3rd EXP

• 2nd LN

• 4th POW

• 1st LOG