Question 1

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither.   Which one is linear: f, g, or h?

Accepted Answer

The answer of Each of the functions in the table...

Question 2

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. The following three graphs correspond with the functions in the table. Which is the graph of g?

Accepted Answer

The answer of Each of the functions in the table...

Question 3

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither.   The formula for the exponential one is  . Round your second answer to 2 decimal places.

Accepted Answer

The answer of Each of the functions in the table...

Question 4

The population of a city is increasing exponentially. In 2000, the city had a population of 55,000. In 2005, the population was 83,466. The formula for   , the population of the town t years after 2000, is given by  . Round your second answer to 3 decimal places.

Accepted Answer

The answer of The population of a city is increasing...

Question 5

The formula for the exponential function f such that f(3) = 12 and f(15) = 14 is given by f(t) = _____ ( _____ )^t. Give both answers to 2 decimal places.

Accepted Answer

The answer of The formula for the exponential function f...

Question 6

Find a possible formula for the exponential function   such that the points  and  are on the graph.

Accepted Answer

The answer of Find a possible formula for the exponential...

Question 7

In the exponential formula

Accepted Answer

The answer of In the exponential formula 
 ...

Question 8

In 2006, the cost of a particular piece of computer equipment was $500 and going down at a rate of 10% per year. Assuming this percentage remains constant, what is the formula for C, the cost of this equipment in dollars, as a function of t, the number of years since 2006?

Accepted Answer

The answer of In 2006, the cost of a particular...

Question 9

If you start with $4000, how much money will you have after a 25% increase?

Accepted Answer

The answer of If you start with $4000, how much...

Question 10

If you start with $2000, how much money will you have after a 15% increase followed by a 20% decrease?

Accepted Answer

The answer of If you start with $2000, how much...

Question 11

Which of the graphs in the following figure is the graph of   ?

Accepted Answer

The answer of Which of the graphs in the following...

Question 12

A population is 100,000 in year t = 0 and declines at a continuous rate of 8% per year. What is the formula  , the population in year t?

Accepted Answer

The answer of A population is 100,000 in year t...

Question 13

A population is 150,000 in year t = 0 and declines at a continuous rate of 2% per year. By what percentage does the population decrease each year? Round to 2 decimal places.

Accepted Answer

The answer of A population is 150,000 in year t...

Question 14

What is the growth factor if a bacteria colony decreases by 27% each hour?

Accepted Answer

The answer of What is the growth factor if a...

Question 15

The populations of 4 species of animals are given by the following equations:
 Which species are growing in size?

Accepted Answer

The answer of The populations of 4 species of animals...

Question 16

The populations of 4 species of animals are given by the following equations:
  What is the annual percent growth rate for the population that is growing the fastest?

Accepted Answer

The answer of The populations of 4 species of animals...

Question 17

The populations of 4 species of animals are given by the following equations:
  What is the smallest initial population of the 4 species?

Accepted Answer

The answer of The populations of 4 species of animals...

Question 18

The US population in 2005 was approximately 296.4 million. Assume the population increases at a rate of 1.31% per year. How many million people would you expect to live in the United States in the year 2020? Round to 1 decimal place.

Accepted Answer

The answer of The US population in 2005 was approximately...

Question 19

A quantity increased from 20 to 24. By what percentage did it increase?

Accepted Answer

The answer of A quantity increased from 20 to 24....

Question 20

A store's sales of cassette tapes of music decreased by 8% per year over a period of 7 years. By what total percent did sales of cassette tapes decrease over this time period? Round to 1 decimal place.

Accepted Answer

The answer of A store's sales of cassette tapes of...

Quiz 4: Exponential Functions

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. Which one is linear: f, g, or h?

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. The following three graphs correspond with the functions in the table. Which is the graph of g?

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. The formula for the exponential one is . Round your second answer to 2 decimal places.

The population of a city is increasing exponentially. In 2000, the city had a population of 55,000. In 2005, the population was 83,466. The formula for , the population of the town t years after 2000, is given by . Round your second answer to 3 decimal places.

The formula for the exponential function f such that f(3) = 12 and f(15) = 14 is given by f(t) = _ ( _ )^t. Give both answers to 2 decimal places.

Find a possible formula for the exponential function such that the points and are on the graph.

In the exponential formula

In 2006, the cost of a particular piece of computer equipment was $500 and going down at a rate of 10% per year. Assuming this percentage remains constant, what is the formula for C, the cost of this equipment in dollars, as a function of t, the number of years since 2006?

If you start with $4000, how much money will you have after a 25% increase?

If you start with $2000, how much money will you have after a 15% increase followed by a 20% decrease?

Which of the graphs in the following figure is the graph of ?

A population is 100,000 in year t = 0 and declines at a continuous rate of 8% per year. What is the formula for , the population in year t?

A population is 150,000 in year t = 0 and declines at a continuous rate of 2% per year. By what percentage does the population decrease each year? Round to 2 decimal places.

What is the growth factor if a bacteria colony decreases by 27% each hour?

The populations of 4 species of animals are given by the following equations: Which species are growing in size?

The populations of 4 species of animals are given by the following equations: What is the annual percent growth rate for the population that is growing the fastest?

The populations of 4 species of animals are given by the following equations: What is the smallest initial population of the 4 species?

The US population in 2005 was approximately 296.4 million. Assume the population increases at a rate of 1.31% per year. How many million people would you expect to live in the United States in the year 2020? Round to 1 decimal place.

A quantity increased from 20 to 24. By what percentage did it increase?

A store's sales of cassette tapes of music decreased by 8% per year over a period of 7 years. By what total percent did sales of cassette tapes decrease over this time period? Round to 1 decimal place.

Quiz 4: Exponential Functions

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. Which one is linear: f, g, or h?

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. The following three graphs correspond with the functions in the table. Which is the graph of g?

Each of the functions in the table below is increasing, but each increases in a different way. One is linear, one is exponential, and one is neither. The formula for the exponential one is . Round your second answer to 2 decimal places.

The population of a city is increasing exponentially. In 2000, the city had a population of 55,000. In 2005, the population was 83,466. The formula for , the population of the town t years after 2000, is given by . Round your second answer to 3 decimal places.

The formula for the exponential function f such that f(3) = 12 and f(15) = 14 is given by f(t) = _____ ( _____ )t. Give both answers to 2 decimal places.

Find a possible formula for the exponential function such that the points and are on the graph.

In the exponential formula

In 2006, the cost of a particular piece of computer equipment was $500 and going down at a rate of 10% per year. Assuming this percentage remains constant, what is the formula for C, the cost of this equipment in dollars, as a function of t, the number of years since 2006?

If you start with $4000, how much money will you have after a 25% increase?

If you start with $2000, how much money will you have after a 15% increase followed by a 20% decrease?

Which of the graphs in the following figure is the graph of ?

A population is 100,000 in year t = 0 and declines at a continuous rate of 8% per year. What is the formula for , the population in year t?

A population is 150,000 in year t = 0 and declines at a continuous rate of 2% per year. By what percentage does the population decrease each year? Round to 2 decimal places.

What is the growth factor if a bacteria colony decreases by 27% each hour?

The populations of 4 species of animals are given by the following equations: Which species are growing in size?

The populations of 4 species of animals are given by the following equations: What is the annual percent growth rate for the population that is growing the fastest?

The populations of 4 species of animals are given by the following equations: What is the smallest initial population of the 4 species?

The US population in 2005 was approximately 296.4 million. Assume the population increases at a rate of 1.31% per year. How many million people would you expect to live in the United States in the year 2020? Round to 1 decimal place.

A quantity increased from 20 to 24. By what percentage did it increase?

A store's sales of cassette tapes of music decreased by 8% per year over a period of 7 years. By what total percent did sales of cassette tapes decrease over this time period? Round to 1 decimal place.

The formula for the exponential function f such that f(3) = 12 and f(15) = 14 is given by f(t) = _ ( _ )^t. Give both answers to 2 decimal places.