Real Life Exponential Functions

If something is growing at a rate of 2% per year, r in the growth formula is:

• .2

• 2

• .02

• 200

Given the equation y = 12(1 + .2)⁵

• 12 represents the initial amount.

• 5 represents the initial amount.

• .2 represents the initial amount.

• y represents the initial amount.

$1000 is invested in a bank account with 1% interest compounded weekly. The amount in the bank account after 8 years should be

• $1000

• more than $1000

• less than $1000

• This is not important.

Take a look at the following graph. This graph is an example of:

The following could be real-life examples of exponential growth:

​ (a)   ​ (b)   ​ (c)  

• population growth

• cell division

• retirement account growth

• GPA

• time

• a ball being thrown into the air

• the speed at which you run

Based on what you see from this graph, the best possible function to match it would have to be:

Imagine you're studying the growth of a certain bacteria population in a lab. The population doubles every hour. Which of the following equations best represents this scenario?

A scientist is conducting an experiment where the population of a bacteria culture doubles every hour. If the population of the bacteria culture is initially 1, after how many hours will the population reach 32?

Which of the following represents exponential decay in the context of a radioactive substance's half-life?