Estimating Population Growth Time

The video tutorial explains how to determine when a population of bacteria will reach 5,000 using the equation P(t) = 1,000 * e^(0.12t). The instructor demonstrates solving this problem with a graphing calculator, utilizing both the table and graphing features. The solution is verified graphically by finding the intersection of the population function and a horizontal line at 5,000. The tutorial concludes with a note that logarithmic methods will be covered in future lessons.

What is the initial population of the bacteria according to the given equation?

• 10,000

• 1,000

• 5,000

• 500

What mathematical tool will be used in future lessons to solve the problem of estimating the population time?

• Trigonometry

• Algebra

• Calculus

• Logarithms

Which feature of the graphing calculator is used to initially estimate when the population reaches 5,000?

• Matrix feature

• Statistical feature

• Graphing feature

• Table feature

What is the purpose of adjusting the table settings to start at 13 and change in tenths?

• To find the exact population

• To narrow down the time estimate

• To decrease the time

• To increase the population

What is the approximate time when the population reaches 5,000 according to the table feature?

• 12.5 hours

• 13.4 hours

• 14.2 hours

• 15.0 hours

What is the purpose of setting Y2 to 5,000 in the graphing calculator?

• To find the intersection point

• To adjust the window settings

• To calculate the growth rate

• To find the maximum population

What is the X coordinate of the intersection point used to determine?

• The time when population reaches 5,000

• The maximum population

• The growth rate

• The initial population

What window settings are adjusted to ensure the graph displays correctly?

• X Min and Y Min

• X Max and Y Max

• X Scale and Y Scale

• X Min and X Max

What is the final step to find the intersection on the graphing calculator?

• Choosing the Intersection option

• Selecting the Trace option

• Adjusting the window settings

• Pressing the Graph button

What will be used in future lessons to solve the problem of estimating the population time?

• Statistical methods

• Graphing calculators

• Logarithms

• Algebraic equations