Exponential Growth and Decay Concepts

Front

Change 11.2% to a decimal.

Back

0.112

Front

A(n) _________________ function will MULTIPLY the same number each time.

Back

Exponential

Front

What is b, the common ratio, for the function: f(x) = 300(1.16)^x?

Back

1.16

Front

Is this exponential growth or decay? (f(x) = 300(1.16)^x)

Back

Growth

Front

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Back

y=6(1.14)^x

Front

What is the formula for exponential growth?

Back

f(t) = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

Front

What is the formula for exponential decay?

Back

f(t) = a(1 - r)^t, where a is the initial amount, r is the decay rate, and t is time.

Front

If a population of bacteria doubles every hour, what type of function does this represent?

Back

Exponential Growth

Front

If a radioactive substance decreases by 5% each year, what type of function does this represent?

Back

Exponential Decay

Front

What does the base 'b' represent in an exponential function f(x) = a(b)^x?

Back

The base 'b' represents the growth (b > 1) or decay (0 < b < 1) factor.