5.3 Growth and Decay Calculations Lesson Check

Front

What type of function is y = 7(5/4)^{x}?

Back

Exponential Growth

Front

In an exponential growth model, what does the 'a' represent in the equation y=a(1+r)^{t}?

Back

Initial Amount

Front

Classify the model A=1200(0.85)^{6} as Exponential GROWTH or DECAY.

Back

Decay (0 < base < 1)

Front

In an exponential growth model, what does the 'r' represent in the equation y=a(1+r)^{t}?

Back

Growth Rate

Front

What is the growth rate for the function: f(x) = 300(1.16)^{x}?

Back

16%

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

y = a(1 + r)^{t} where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

Front

What is the general form of an exponential decay function?

Back

y = 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 3 hours, what type of growth is this?

Back

Exponential Growth