Flashcard 4 Practice- Growth and Decay functions

Front

What does the 'a' represent in an exponential function?

Back

Y-INTERCEPT

Front

How do you write the decay factor for a population decreasing at a rate of 5%?

Back

.95

Front

What type of growth is represented by a function that increases rapidly over time?

Back

Exponential Growth

Front

What type of decay is represented by a function that decreases steadily over time?

Back

Linear Decay

Front

What type of decay is represented by a function that decreases rapidly over time?

Back

Exponential Decay

Front

What is the general form of an exponential function?

Back

f(x) = a * b^x, where 'a' is the initial value and 'b' is the growth/decay factor.

Front

If a population doubles every year, what is the growth factor?

Back

2

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

What is the formula for calculating the decay of a population?

Back

P(t) = P0 * (1 - r)^t, where P0 is the initial population, r is the decay rate, and t is time.

Front

What does a decay factor of 0.8 indicate?

Back

The population decreases by 20% each time period.