Growth or Decay?
Does this function show growth or decay? f(x) = 2^x
What is growth?
The population in the town of Gainesville is presently 38,300. The town grows at an annual rate of 1.2%. Find the expected population of the town in 9 years.
What is approximately 42,641 people
y = 250(1.2)^t What is the initial value of this function?
What is 250
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
Does this function show growth or decay? f(x)=100*(0.5)^x
What is decay?
$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
y = 250(1.2)^t What is the growth factor of this function?
What is 1.2
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
Does this function show growth or decay: f(x)= 100*(1.4)^x
What is growth
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
y = 250(1.2)^t By what percentage is this function growing?
What is 20%
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
$4000 is invested in an account at 6% interest, compounded annually, for 2 years. How much money is in the account now?
$4494.40
Does this function show growth or decay: f(x) = 7 (0.94)^x
What is decay
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
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
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
$1500 is invested in an account at 6% interest, compounded monthly. How much is in the account after 5 years?
$2023.28
Does this function show growth or decay: f(x) = 350 (1.25)^x
What is growth
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
y = 9.8(.76)^t By what percentage is this function decaying?
What is 24%
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
$1350 is compounded semi-annually at 2.5% annual interest. Find the balance after 10 years.
$1730.75