Growth or Decay Warm Up

Front

What is Exponential Growth?

Back

Exponential Growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase. Example: A population that doubles every year.

Front

What is Exponential Decay?

Back

Exponential Decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease. Example: A radioactive substance that halves every year.

Front

How can you identify Exponential Growth in a function?

Back

In a function of the form A = P(1 + r)^t, if r > 0, it represents Exponential Growth.

Front

How can you identify Exponential Decay in a function?

Back

In a function of the form A = P(1 - r)^t, if r > 0, it represents Exponential Decay.

Front

What does the base of an exponential function indicate?

Back

The base indicates the growth or decay factor. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

What is the general form of an exponential decay function?

Back

The general form is A = P(1 - r)^t, where P is the initial amount, r is the decay rate, and t is time.

Front

What is the general form of an exponential growth function?

Back

The general form is A = P(1 + r)^t, where P is the initial amount, r is the growth rate, and t is time.

Front

What does the term 'decay rate' refer to?

Back

The decay rate is the percentage by which a quantity decreases in a given time period.

Front

What does the term 'growth rate' refer to?

Back

The growth rate is the percentage by which a quantity increases in a given time period.

Front

If a function is represented as h(x) = 4(3/5)^x, what type of function is it?

Back

It is an Exponential Decay function because the base (3/5) is less than 1.