Growth or Decay?
Applying Exponential Equations
Random
Logs
100
Is the following growth or decay: f(x) = 2(0.09)^x
decay
100
The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the number population of the town after 9 years.
Approximately 42,640 people
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
Solve the following, Round to the nearest hundredth
10x = 50
log50 or x = 1.70
200
Is the following growth or decay: f(x)=100*(0.5)^x
What is decay
200
$1,200 is invested at an annual rate of 3.2%. How much money will the account have after 12 years?
$1751.21
200
The population of Baconburg starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after 10 years.
What is f(10) = 20,000(1.13)^10 and population of 67,891
200
Solve the following, round your answer the nearest hundredth
6 * 10x = 48
log8 or x = 0.90
300
Is the following growth or decay: f(x)= 100*(1.4)^x
What is growth
300
The population in the town of Deersburgh is presently 42,500. The town has been growing at a steady rate of 2.7%. What will the population of the town be in 5 years?
Approximately 42, 499 People
300
1) Write the following in exponential form: log5x=2
2) then solve
52=x
x=25
300
Solve the following, round your answer the nearest hundredth
3 * 5x = 15
x = 1
400
Is the following growth or decay: f(x) = 7 (0.94)^x
What is decay
400
The value of a stock when purchased is $10 a share. However, over the past 5 days the price went down at a constant rate of 4%. How much is the stock worth now?
$8.15
400
Write the following in exponential form:
log800 = x
10x = 800
400
Solve the following, round your answer the nearest hundredth
2* 10x = 80
log40 or 1.60
500
Is the following growth or decay: f(x) = -350 (1.25)^x
What is growth
500
The value of a car was $22,000 when it was purchased. They car depreciates at a rate of 19% per month. How much will the car be worth in 2 years?
$139.97
500
Express the toy’s value t , in dollars, as a function of time w, in weeks, after purchase.
t(w) = 5(2)1t/3
500
Solve + round answer to nearest hundredth:
6 * 10x = 0.60
x =log 0.1
OR x = -1