# Exponential Decay

### Topic Page

Exponential Decay### Questions

- How do you graph exponential decay functions?
- What is the exponential decay formula?
- How do you determine if an exponential formula is growth or decay?
- How do you graph #y=(\frac{1}{5})^x#?
- How do you create an (x,y) table for #y=\frac{3}{4} \cdot 6^{-x}#?
- How do you know if #y = 2.5(0.8)^x# represents exponential growth or decay?
- How do you determine the value of an x-ray machine after 5 year if it cost $216 thousand and Margaret Madison, DDS, estimates that her dental equipment loses one sixth of its value each year?
- What is the growth factor, initial amount for #M(t)=8(2)^(1/6t)#?
- What is the difference between the graph of a exponential growth function and an exponential decay function?
- Is the function # y = -5(1/3)^ -x# exponential growth or decay?
- The value of a car decreases at an annual rate of 9.9%. It is currently worth $15000. When will the car be worth $100?
- Colleen's station wagon is depreciating at a rate of 9% per year. She paid $24,500 for it in 2002. What will the car be worth in 2008 to the nearest hundred dollars?
- How do you determine whether each function represents exponential growth or decay #y=3(5/2)^x#?
- How do you determine whether each function represents exponential growth or decay #y=10(3.5)^x#?
- How do you determine whether each function represents exponential growth or decay #y=0.4(1/3)^x#?
- How do you determine whether each function represents exponential growth or decay #y=(0.5)^x#?
- Malcolm buys a caravan for £12000. It depreciates by 31% per year. How much is it worth after 7 years?
- Question #a99bd
- Question #c895d
- I am not sure I am posting this in the right section, but I need to determine the amount of carbon will be in 5670 years. See picture. Thanks?!!