Question

Which of the following are examples of exponential decay? Select all that apply.

A vehicle depreciates 13% each year.
A tree is doubling in height each year.
An investment earns a 5% interest each year.
Air pressure decreases 12% for every 1000 meters in height.
The population of a town is growing at an annual rate of 3.5%.
A retirement account decreases by $12,000 each year.
A radioactive element has a decay rate of 10%.

Answer 1

All that apply are
1) A vehicle depreciates 13% each year

4)Air pressure decreases 12% for every 1000 meters in height

6) A retirement account decreases by $12,000 each year.

7) A radioactive element has a decay rate of 10%

Answer 2

Answer: A vehicle depreciates 13% each year.

Air pressure decreases 12% for every 1000 meters in height.

A radioactive element has a decay rate of 10%.

Explanation:

We will sat to a quantity is an example of exponential decay if it decreases at a rate proportional to its present value.

Now, from the given options the examples of exponential decay are:_

A vehicle depreciates 13% each year.

Air pressure decreases 12% for every 1000 meters in height.

A radioactive element has a decay rate of 10%.

because they are decreasing at a constant rate given in percent.