Exponential Growth or Decay?

Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a fixed percentage over a specific period of time, leading to rapid increases as the base amount grows.

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a fixed percentage over a specific period of time, leading to a rapid decrease as the base amount shrinks.

Front

Example of exponential growth: A population of 4,000 mosquitoes grows at 25% per month. What type of growth is this?

Back

Exponential Growth.

Front

Example of exponential decay: A copier worth $5,600 loses 10% of its value each year. What type of decay is this?

Back

Exponential Decay.

Front

What is the formula for exponential growth?

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 formula for exponential decay?

Back

y = a(1 - r)^t, where 'a' is the initial amount, 'r' is the decay rate, and 't' is time.

Front

If a tree grows at a rate of 10% per year, what type of growth is this?

Back

Exponential Growth.

Front

If a population decreases from 1,000 to 900 in one year, what type of change is this?

Back

Exponential Decay.

Front

Identify the equation for exponential growth: y=2(0.5)^x or y=0.5(2)^x?

Back

y=0.5(2)^x.

Front

Identify the equation for exponential decay: y=3(0.7)^x or y=4(1.2)^x?

Back

y=3(0.7)^x.