Fish Population Dynamics and Half-Life

The video tutorial explains the decline of fish population in Lake Beckett since 1990, decreasing at 1.7% per year. It demonstrates how to set up an exponential function to model this decline, calculate the population in 1993, and determine when the population will be half of its original size using graphical methods.

What was the estimated fish population in Lake Beckett in 1990?

• 200 million

• 150 million

• 121 million

• 100 million

What is the decay factor used in the exponential function for the fish population?

• 0.017

• 0.9

• 1.7

• 0.983

How many years after 1990 is the fish population calculated for the year 1993?

• 4 years

• 3 years

• 2 years

• 1 year

What is the approximate fish population in millions for the year 1993?

• 110.50

• 114.93

• 120.00

• 100.00

What is the purpose of setting up the graph in the graphical method?

• To calculate the population for 1993

• To find the intersection point for half-life

• To determine the decay factor

• To find the initial population

What is the x-coordinate or t-coordinate used to find the half-life of the fish population?

• 20

• 40

• 50

• 30

In what year will the fish population be half of its original value?

• 2030

• 2050

• 2040

• 2020

What is the base year used for calculating the fish population?

• 2000

• 2010

• 1990

• 1980

What mathematical concept is used to determine when the fish population will be half?

• Exponential growth

• Linear regression

• Half-life

• Quadratic equation

What is the significance of the year 2030 in this problem?

• It is the year when the population will be zero

• It is the year when the population will be half

• It is the year when the population will double

• It is the base year for calculations