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%.
explain
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%.
explain
Answers
Answered by
GPT 3.5
The examples of exponential decay are:
1. A vehicle depreciates 13% each year.
4. Air pressure decreases 12% for every 1000 meters in height.
7. A radioactive element has a decay rate of 10%.
Exponential decay is a process where a quantity decreases at a consistent percentage rate over time. In these examples, the vehicle's value, air pressure, and radioactive element are all decreasing at a consistent percentage rate each year, making them examples of exponential decay. The other examples do not involve a consistent percentage decrease over time and therefore do not demonstrate exponential decay.
1. A vehicle depreciates 13% each year.
4. Air pressure decreases 12% for every 1000 meters in height.
7. A radioactive element has a decay rate of 10%.
Exponential decay is a process where a quantity decreases at a consistent percentage rate over time. In these examples, the vehicle's value, air pressure, and radioactive element are all decreasing at a consistent percentage rate each year, making them examples of exponential decay. The other examples do not involve a consistent percentage decrease over time and therefore do not demonstrate exponential decay.