Growth and Decay Notes

When will a multiplier be a growth factor?

What is the growth rate for the equation?

y = 200(1.8^x)

Is y = 5(1.04)^x growth or decay?

Which of these functions is a growth function? Check all that apply.

When will a multiplier be a decay factor?

What is the decay rate in the following model?

A=1200(.85)⁶

What is the initial value for the equation?

y = 200(1.8^x)

This function represents the number of ants in a colony $$f\left(x\right)=3\ \left(\ 2\right)^x$$

How many ants did you begin with? 

Which graphs represent exponential decay?

Which graphs represent exponential growth?

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population.

Which function can be used to determine the number of deer, y, in this population at the end of t years?

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month.

At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

A population of fish starts at 8,000 and decreases by 6% per year.

What is the fish population in 10 years?

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

Moody's Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

An experiment begins with 20 grams of a radioactive isotope. This isotope has a half-life. If y is the mass in grams remaining after x half-lives have elapsed, which equation represents the amount of grams the isotope will weigh after 4 half-lives?