Modeling with basic exponential function

TL;DR

A function is used to calculate the deer population on a reservation, which increases by 30% per year.

Transcript

• [Instructor] There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P of t on the reservation t years from now. All right, let's think about this. And like always, pause this video, and see if you can work it out on your own. Well, let's think about what P ... Read More

Key Insights

• 💗 The deer population on the reservation grows exponentially with a 30% increase each year.
• 😃 The population after t years can be calculated using the formula P of t = (initial population) * (1.3)^t.
• ✖️ The increase of 30% each year is equivalent to multiplying the current population by 1.3.

Questions & Answers

Q: How is the initial population of deer on the reservation determined?

The initial population of deer on the reservation is given as 170.

Q: How is the population after one year calculated?

The population after one year is obtained by multiplying the initial population by 1.3, which represents a 30% increase.

Q: How is the population after two years calculated?

The population after two years is obtained by multiplying the population after one year by 1.3 once again or raising 1.3 to the power of 2.

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

The general formula is P of t = (initial population) * (1.3)^t, where t represents the number of years.

Summary & Key Takeaways

• The initial deer population on the reservation is 170.

• The population after one year is calculated by adding 30% of the initial population to the original population.

• The population after two years is obtained by multiplying the population after one year by 1.3.