Rate of Change of Exponential Functions

Front

What is the decay rate in the model A=1200(.85)^6?

Back

-.15

Front

Classify the model A=1200(.85)^x as Exponential GROWTH or DECAY.

Back

Decay

Front

If Daniel’s Print Shop purchased a new printer for $35,000 and it depreciates at a rate of 5%, how much will the printer be worth in 8 years?

Back

$23,219.72

Front

Is the following graph growth or decay? (Assume it shows a decreasing trend)

Back

Decay

Front

Is the equation y=2x+4 linear, exponential or neither?

Back

Linear

Front

Define exponential decay.

Back

Exponential decay is a decrease in a quantity at a rate proportional to its current value.

Front

What is the general form of an exponential decay function?

Back

A = A0 * e^(-kt), where A0 is the initial amount, k is the decay constant, and t is time.

Front

What does the base of an exponential function indicate in terms of growth or decay?

Back

If the base is less than 1, the function represents decay; if greater than 1, it represents growth.

Front

How do you determine the half-life in an exponential decay model?

Back

The half-life is the time required for a quantity to reduce to half its initial value.

Front

What is the relationship between the decay rate and the base in an exponential decay function?

Back

The decay rate is equal to 1 minus the base of the exponential function.