Exponential Growth and Decay Assess

Front

What is the starting value in the function f(x) = 20(1.02)^x?

Back

20

Front

What type of function is f(x) = 25(0.20)^x?

Back

Exponential Decay

Front

Convert 0.39 to a percent.

Back

39%

Front

What type of function is f(x) = 0.25(1.3)^x?

Back

Exponential Growth

Front

If the decay rate is 20%, what is the decay factor?

Back

0.8

Front

Define Exponential Growth.

Back

A process where the quantity increases at a rate proportional to its current value.

Front

Define Exponential Decay.

Back

A process where the quantity decreases at a rate proportional to its current value.

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

How do you find the decay factor from a decay rate of 15%?

Back

Decay factor = 1 - 0.15 = 0.85.