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, resulting in a rapid increase.

Tags

CCSS.HSF-LE.A.1A

Front

What is exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease.

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for exponential growth?

Back

The formula is f(t) = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

Tags

CCSS.HSF-LE.A.1A

Front

What is the formula for exponential decay?

Back

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

Tags

CCSS.HSF-LE.A.1A

Front

How do you identify exponential growth in a graph?

Back

Exponential growth graphs rise steeply and curve upwards as time increases.

Tags

CCSS.HSF-IF.C.7E

Front

How do you identify exponential decay in a graph?

Back

Exponential decay graphs fall steeply and curve downwards as time increases.

Tags

CCSS.HSF-IF.C.7E

Front

What is the half-life of a substance?

Back

Half-life is the time required for a quantity to reduce to half its initial amount, commonly used in radioactive decay.

Front

What type of function is f(x)=2(1/7)^x?

Back

Exponential Decay.

Front

What happens to a population that grows at a rate of 15% per year?

Back

The population increases exponentially over time.

Tags

CCSS.HSF-LE.A.1A

Front

What is the difference between linear and exponential functions?

Back

Linear functions increase or decrease by a constant amount, while exponential functions increase or decrease by a constant percentage.