A3_ Exponential Growth and Decay Flashcard

Front

What is the formula for exponential growth?

Back

Front

Back

y represents the final amount after time t.

Front

Back

The rate of growth is 0.03 or 3%.

Front

Back

The decay rate is 0.02 or 2%.

Front

How do you calculate the population after 4 months if the initial population is 4000 and the growth rate is 25% per month?

Back

Front

What is exponential decay?

Back

Exponential decay describes a process where a quantity decreases at a rate proportional to its current value.

Front

What is the general formula for exponential decay?

Back

Front

What is the difference between growth and decay in exponential functions?

Back

Growth occurs when the rate is positive (r > 0), while decay occurs when the rate is negative (r < 0).

Front

If a population of bacteria doubles every hour, what is the growth factor?

Back

The growth factor is 2, meaning the population increases by a factor of 2 each hour.

Front

What is the half-life in the context of exponential decay?

Back

Half-life is the time required for a quantity to reduce to half its initial value.