Population Growth and Decay Concepts

The video tutorial explains how to model the growth of a deer population on a reservation, starting with 170 deer and increasing at a rate of 30% per year. It introduces the concept of exponential growth and demonstrates how to calculate the population after one year, then generalizes the formula to find the population at any given time. The function is expressed as P(t) = 170 * 1.3^t, where t is the number of years. The tutorial emphasizes understanding the mathematical principles behind exponential growth and how to apply them to real-world scenarios.

What is the initial number of deer on the reservation?

• 150

• 170

• 200

• 250

At what rate is the deer population increasing each year?

• 20%

• 30%

• 10%

• 40%

How do you calculate the population after one year?

• Multiply by 1.4

• Multiply by 1.2

• Multiply by 1.1

• Multiply by 1.3

What is the decimal representation of 30%?

• 30.0

• 3.0

• 0.3

• 0.03

What mathematical concept is used to describe the population growth?

• Linear growth

• Logarithmic growth

• Quadratic growth

• Exponential growth

What is the formula for the population after two years?

• 170 * 1.3^2

• 170 * 1.3

• 170 * 1.3^3

• 170 * 1.3^4

How do you express 130% as a decimal?

• 1.03

• 1.3

• 13.0

• 130.0

What is the general formula for the deer population after t years?

• 170 + 1.3*t

• 170 + 1.3^t

• 170 * 1.3*t

• 170 * 1.3^t

If the population grows by 30% each year, what is the multiplier used each year?

• 1.3

• 1.4

• 1.1

• 1.2

After 100 years, what would be the expression for the deer population?

• 170 + 1.3*100

• 170 + 1.3^100

• 170 * 1.3*100

• 170 * 1.3^100