WorksheetsApplication of Exponential Function
Total questions: 19
Worksheet time: 19mins
The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?
If necessary, round your answer to the nearest whole number.
4 people.
22,972 people.
1,169,030 people.
1,188,311 people.
The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?
y = 30,010 (.05)x
y = 30,010 (1.05)x
y = 30,010 (.95)x
y = 30,010 (5)x
A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?
$5,884.00
$5,178.97
$2,992.96
$2,957.04
The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?
$12,800.00
$13,629.44
$17,600.00
$28,098.56
You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account?
12.375 Years
177.073 Years
0.175 Years
17.509 Years
You invest $5,000 into a savings account that has an interest rate of 5% compounded continuously. In how many years will there be $12000 in the account? ( y=Pert )
12.375 Years
177.073 Years
0.175 Years
17.509 Years
Which of the following is an exponential decay model?
y = 3 * (1/2)x
y = 1/2 * (3)x
y = -2 * (2)x
y = -3 * (3/2)x
Due to its weakening steel industry, Canalave Town has been experiencing a population decline of 10% every year. The current population is 74,000 people. Assuming the trend continues, which equation projects the population in x years?
y = 74,000 (0.10)x
y = 74,000 (0.90)x
y = 74,000 (1.10)x
y = 74,000 (1.90)x
A sculpture is increasing in value at a rate of 9% per year, and its value in 2000 was $1500. Write an exponential growth function to model this situation.
f(t)=1500(1.09)t
f(t)=1500(0.09)t
f(t)=2000(0.09)t
f(t)=1500(9)t
Interpret the meaning of the values "a" and "b"
a =1.023, b=125,500
a is the initial number of subscribers, b is the rate at which the subscribers decrease.
a is the rate at which the subscribers increase, b is the initial number of subscribers.
a is the initial number of subscribers, b is the rate at which the subscribers increase.
Most automobiles depreciate as they get older. Suppose an automobile that originally costs $14,000 depreciates by 20% of its value every year.
What exponential equation can we create to model this situation?
y=14000(.20)x
y=14000(.80)x
y=14000(1+.20)x
y=14000(1+.80)x
Most automobiles depreciate as they get older. Suppose an automobile that originally costs $20,000 depreciates by 28% of its value every year. What is the half-life of this automobile?
2 years
3 years
1/2 years
2.11 years
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
y=5000(0.7)x
y=30(5000)x
y=5000(1.3)x
y=5000xx
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
y=6(0.14)x
y=6(1+14)x
y=6(1.14)x
y=6(0.86)x
Is this exponential growth or decay? (choose all that apply) r is rate of increase or decrease
Growth
Decay
(1-r)
(1+r)
Tell wether this function represents growth or decay. (choose all that apply) r is rate of increase/decrease
Growth
Decay
(1-r)
(1+r)
Which does the graph represent?
Growth
Decay
Write an equation to represent the situation after x days.
f(x)= 21(500)x
f(x)=500(21)x
g(x)=21x +500
Interpret the meaning of "a" and "b". (choose all that apply)
a=250, b= 0.982
a is the initial radioactive material in grams, b is the rate at which the mass decreases.
a=0.982, b =250
a is the initial radioactive materials in grams, b is the rate at which the mass increases.
