Exponential Growth and Decay

Front

What is the growth factor if the growth rate is 80%?

Back

1.8

Front

What is the decay factor if a car depreciates from $20,000 to $15,000 in one year?

Back

0.75

Front

If Jack invests $600 at a 5% interest rate, how much will he have after 5 years?

Back

$765.77

Front

What is the population of fish after 10 years if it starts at 8,000 and decreases by 6% per year?

Back

4309

Front

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

Back

Decay

Front

Define exponential growth.

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

Define exponential decay.

Back

Exponential decay occurs when a quantity decreases at a rate proportional to its current value, leading to a rapid decrease over time.

Front

What is the formula for exponential growth?

Back

A = P(1 + r)^t, where A is the amount after time t, P is the initial amount, r is the growth rate, and t is time.

Front

What is the formula for exponential decay?

Back

A = P(1 - r)^t, where A is the amount after time t, P is the initial amount, r is the decay rate, and t is time.

Front

How do you calculate the growth factor from a percentage growth rate?

Back

Growth Factor = 1 + (growth rate as a decimal). For 80%, it is 1 + 0.80 = 1.8.