Growth or Decay?
Applying Exponential Equations
Initial Amount, Growth Factor, and Growth Rate
Writing Exponential Functions
Rand-o
100

Does this function show growth or decay? f(x) = 2^x

What is growth?

100

A new vaccine decreases the number of bacteria by half each hour.  If there are 30,720 bacteria, how many bacteria are left after 5 hours?

What is 960 bacteria?
100

y = 250(1.2)^t What is the initial value of this function?

What is 250

100

Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.

What is f(x) = 422,000(1.12)^x

100

The first fruit called an orange was originally what color?

Green

200

Does this function show growth or decay? f(x)=100*(0.5)^x

What is decay?

200

$1,200 is invested at an annual rate of 3.2%, compounded annually. How much money will be in the account after 12 years?

$1751.21

200

y = 250(1.2)^t What is the growth factor of this function?

What is 1.2

200

The population of Baconburg starts off at 20,000, and grows by 13% each year. Write an exponential growth model.

What is f(t) = 20,000(1.13)^t

200

How many words for "snow" are there in the Scottish language?

421

300

Does this function show growth or decay: f(x)= 100*(1.4)^x

What is growth

300

The population in the town of Battlesburg is presently 42,500. The town has been growing at a steady rate of 0.6%. What is the expected population of the town in 5 years?

Approximately 43,790 People

300

y = 250(1.2)^t By what percentage is this function growing?

What is 20%

300

During a study of ptarmigan it was found that the population in one area was 154 and was growing at an annual rate of 3.2%. Write an equation to model the growth of the ptarmigan population.

What is f(x) = 154(1.032)^x

300

What is the only letter in the alphabet NOT in the name of a US State?

Q

400

Does this function show growth or decay: f(x) = 7 (0.94)^x

What is decay

400

The value of a car was $22,000 when it was purchased. The car depreciates at a rate of 19% per year. How much will the car be worth in 8 years?

$4,076.64

400

There are currently 5 strands of bacteria living in petri dish. It is said to increase by 6.8% every day. What would the growth factor be?

What is 1.068

400

The current number of fish in The Magic Forest Lake was estimated at 2500 and is declining at an annual rate at 1.5%. Write an equation to model the decreasing number of fish.

What is y = 2500(.985)^x

400

What is the world's largest monkey?

What is the Mandrill?

500

Does this function show growth or decay: f(x) = 350 (1.25)^x

What is growth

500

The value of a stock when purchased is $1000 a share. However, over the past 3 years the price went down at a constant rate of 4%. How much is the stock worth now?

$884.74

500

A contest is held each year that eliminates 1/3 of the contestants each round.  If the contest starts with 81 people, what is the rate of change and is it growth or decay?

1/3, decay

500

The population is said to be 154,000 squid in The Magic Forest Lake. The population is getting cut in half every year. Write an exponential equation to represent the number of squid in x years.

What is y = 154,000(.5)^x

500

What was the name of President Coolidge's raccoon?

Who is Rebecca the raccoon?