Exponential Growth and Decay Quick Flashcard

Front

What is the starting term (a) in the function: f(x) = 300(1.16)^x?

Back

300

Front

Identify the type of function: f(x) = 25(0.20)^x

Back

Exponential Decay

Front

Identify the type of function: f(x) = 0.25(1.3)^x

Back

Exponential Growth

Front

What is the exponential function for a savings account opened with $1500 at 1.5% annual interest?

Back

f(x) = 1500(1 + 0.015)^x

Front

What is the general form of an exponential growth function?

Back

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

Front

What is the general form of an exponential decay function?

Back

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

Front

If a population of bacteria doubles every hour, what type of growth is this?

Back

Exponential Growth

Front

If a radioactive substance decreases by half every 5 years, what type of decay is this?

Back

Exponential Decay

Front

What does the base of an exponential function represent?

Back

The growth (if > 1) or decay (if < 1) factor.

Front

How do you determine if a function is exponential?

Back

Check if the variable is in the exponent.