Exponential Growth or Decay?

Front

What is exponential growth?

Back

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

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over time, leading to rapid decreases as the quantity diminishes.

Front

Identify the function type: f(x)=2(1/7)^x.

Back

Exponential Decay.

Front

Identify the function type: y = 7(5/4)^x.

Back

Exponential Growth.

Front

What is the formula for exponential growth?

Back

The formula is 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

The formula is 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 does a 15% annual growth rate affect a population?

Back

A 15% annual growth rate means the population increases by 15% of its current size each year.

Front

What happens to a population with a 25% monthly growth rate?

Back

The population increases rapidly, as each month the population grows by 25% of its current size.

Front

What is the impact of exponential decay on a car's value?

Back

A car's value decreases exponentially over time, meaning it loses value at a decreasing rate.

Front

What is a real-world example of exponential growth?

Back

The spread of a viral infection can be modeled as exponential growth, where each infected person can infect multiple others.