Population Growth and Decay Problems

This video tutorial explores the application of exponential functions in various real-life scenarios, including animal and bacteria growth, savings and population growth, depreciation of goods, and radioactive decay. It provides examples and formulas to model these phenomena, helping viewers understand how exponential functions can be applied to solve practical problems.

What is the initial number of rabbits on the island?

• 15 rabbits

• 10 rabbits

• 5 rabbits

• 20 rabbits

After three years, how many rabbits are there on the island?

• 7290 rabbits

• 10000 rabbits

• 2430 rabbits

• 729 rabbits

What is the formula used to calculate future savings or population growth?

• y = a * (1 - r)^x

• y = a * x^r

• y = a * r^x

• y = a * (1 + r)^x

If the population growth rate is 3% per year, what is the population after two years if the initial population is 200 million?

• 206 million

• 224 million

• 212.18 million

• 218 million

What is the formula for calculating the depreciation of goods?

• y = a * (1 + r)^x

• y = a * (1 - r)^x

• y = a * r^x

• y = a * x^r

If a car's value depreciates by 20% per year, what is its value after three years if the initial value is 500 million Rupiah?

• 256 million Rupiah

• 300 million Rupiah

• 400 million Rupiah

• 450 million Rupiah

What is the typical fraction used to represent radioactive decay?

• 1/5

• 1/2

• 1/3

• 1/4

In a tennis tournament with 256 players, how many players remain after six rounds if half are eliminated each round?

• 32 players

• 16 players

• 8 players

• 4 players