Write an exponential function to model the situation. Solve. 2) The cost of tuition at a college is $12,000 and is increasing at a rate of 6% per year. What will the cost be after 4 years?

C(t) = 12000(1.06) t ; $15149.72

C(t) = 12000(1.06) t ; $3149.72

The Census Bureau studied the population of the United States from 2010 to 2020. They noticed that the population (in millions) can be represented by the following function: $$f\left(x\right)=309\left(1.09\right)^x$$ What can we interpret by the b-value of the funtion?

The population is growing at a rate of 9%

The population will grow by 109 million people

The population will grow by 9 million people

The population is growing at a rate of 309%

The expression 12(1.015) t models the population of elephants in a wildlife refuge after t years since 1975. What does the value 12 represent?

The initial amount of elephants in the park.

The predicted increase in number of elephants in the refuge each year.

The predicted decrease in number of elephants in the refuge each year.

The number of years it will take for the elephant population to stop increasing.

The amount of ants in a colony, f, that is decaying can be modeled by f(x) = 800(.87) x , where x is the number of days since the decay started. Suppose f(20) = 49. Which of the following is true?

After 20 days, there are 49 ants in the colony.

After 49 days there are 20 ants in the colony.

The amount of ants times 20 is 49.

After 20 days the amount of ants remaining decreases by 49.

The population of a certain species of fish, g, in a lake is decreasing and can be modeled by g(t) = 1000(.85) t , where t is the number of months since the decline started. Suppose g(12) = 150. Which of the following is true?

After 12 months, there are 150 fish in the lake.

After 150 months there are 12 fish in the lake.

The population of fish times 12 is 150.

After 12 months the population of fish decreases by 150.

The population of a certain species of bird, h, in a forest is decreasing and can be modeled by h(t) = 2000(.90) t , where t is the number of months since the decline started. Suppose h(10) = 700. Which of the following is true?

After 10 months, there are 700 birds in the forest.

After 700 months there are 10 birds in the forest.

The population of birds times 10 is 700.

After 10 months the population of birds decreases by 700.

A bank account earning annual compound interest was opened and no additional deposits or withdrawals were made after the initial deposit. The balance in the account after x years can be modeled by $$b\left(x\right)=850\left(1.025\right)^x$$ .

The balance in the account increases at a rate of 2.5% each year

The initial balance decreases at a rate of 97.5% each year.

The initial balance of the account is $1025.

The balance in the account at the end of the year is 850.

Scientists are studying a bacteria sample. The function $$f\left(x\right)=245\left(1.12\right)^x$$ gives the number of bacteria in the sample at the end of x days. Which statement is the best interpretation of one of the values of this function?

The number of bacteria increases at a rate of 12% each day

The initial number of bacteria is 12.

The number of bacteria at the end of one day is 245.

The initial number of bacteria decreases at a rate of 88% each day.

The amount of cola in a soda machine is patterned by the given function f(h) = 75(.95) h . Which of the following is true?

The original number of soda is 75.

The original number of soda is 95.

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 ?

f ( x ) = 417 ( 1 + 0.0375 ) x f(x)=417(1+0.0375)^x f ( x ) = 4 1 7 ( 1 + 0 . 0 3 7 5 ) x

f ( x ) = 417 ( 1 − 0.0375 ) x f(x)=417(1-0.0375)^x f ( x ) = 4 1 7 ( 1 − 0 . 0 3 7 5 ) x

f ( x ) = 417 ( 1 − 3.75 ) x f(x)=417(1-3.75)^x f ( x ) = 4 1 7 ( 1 − 3 . 7 5 ) x

f ( x ) = 417 ( 1 + 3.75 ) x f(x)=417(1+3.75)^x f ( x ) = 4 1 7 ( 1 + 3 . 7 5 ) x

Some banks charge a fee for a savings account that is left inactive for an extended period of time. The equation y = 5000 ( 0.98 ) x y=5000(0.98)^x y = 5 0 0 0 ( 0 . 9 8 ) x represents the amount remaining, y, of one account that was left inactive for a period of x years. What does the number 5000 represent in this situation?

The amount of money in the account initially

A fee charged for an inactive account

The percent of money in the account after x years

The amount of money in the account after x years

Unit 5 Review

Authored by Jessica Ancrum

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

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26 questions

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LABELLING QUESTION

1 min • 1 pt

3,000

0.04

(1 + 0.04)

MATH RESPONSE QUESTION

2 mins • 1 pt

The table shows an exponential relationship between the number of employees working for a business based on the time, in years, since the founding of the business.
Create an expression that can be used to determine the number of employees working for the business x years since the founding of the business.

Mathematical Equivalence

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

272

1,449

20,000

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is the following function an example of decay or growth?
f(x) = 2(1.25)^x

Exponential Growth

Exponential Decay

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Pick the equation that is exponential decay

y=2000(0.88)

y=0.5(1.88)

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Growth

Decay

Tags

CCSS.HSF-IF.C.8B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

y = 15(35)^x

y = 15(1.35)^x

y = 15(0.35)^x

y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

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Unit 5 Review

Is the following function an example of decay or growth?
f(x) = 2(1.25)^x

Pick the equation that is exponential decay

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Identify the initial value:
y = 6.87 (4)^x

Daniel’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?

A zombie outbreak is doubling daily. If there are 25 zombies, how many will there be in 7 days?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

Unit 5 Review

Is the following function an example of decay or growth?f(x) = 2(1.25)x

Pick the equation that is exponential decay

Classify the model as Exponential GROWTH or DECAY.A=1200(.85)6

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Identify the initial value:y = 6.87 (4)x

Daniel’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?

A zombie outbreak is doubling daily. If there are 25 zombies, how many will there be in 7 days?

Access all questions and much more by creating a free account

Popular Resources on Wayground

Discover more resources for Mathematics

Is the following function an example of decay or growth?
f(x) = 2(1.25)^x

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

Identify the initial value:
y = 6.87 (4)^x