<< Chapter < Page Chapter >> Page >
x y
900 70
988 80
1000 82
1010 84
1200 105
1205 108

y = 0. 121 x 38.841 , r = 0.998

Got questions? Get instant answers now!

Extensions

Graph f ( x ) = 0.5 x + 10 . Pick a set of 5 ordered pairs using inputs x = −2 ,  1 ,  5 ,  6 ,  9 and use linear regression to verify that the function is a good fit for the data.

Got questions? Get instant answers now!

Graph f ( x ) = 2 x 10 . Pick a set of 5 ordered pairs using inputs x = −2 ,  1 ,  5 ,  6 ,  9 and use linear regression to verify the function.

( −2 , −6 ) , ( 1 , −12 ) , ( 5 , −2 0 ) , ( 6 , −22 ) , ( 9 , −28 ) ; y = −2 x −10

Got questions? Get instant answers now!

For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span. The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands of over the ten-year span, (number of units sold, profit) for specific recorded years:

( 46 ,  1 , 6 00 ) ,   ( 48 ,  1 , 55 0 ) ,   ( 5 0 ,  1 , 5 0 5 ) ,   ( 52 ,  1 , 54 0 ) ,   ( 54 ,  1 , 495 ) .

Use linear regression to determine a function P where the profit in thousands of dollars depends on the number of units sold in hundreds.

Got questions? Get instant answers now!

Find to the nearest tenth and interpret the x -intercept.

( 189 . 8 , 0 )   If 18,980 units are sold, the company will have a profit of zero dollars.

Got questions? Get instant answers now!

Find to the nearest tenth and interpret the y -intercept.

Got questions? Get instant answers now!

Real-world applications

For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs shows the population and the year over the ten-year span, (population, year) for specific recorded years:

(2500, 2000), (2650, 2001), (3000, 2003), (3500, 2006), (4200, 2010)

Use linear regression to determine a function y , where the year depends on the population. Round to three decimal places of accuracy.

y = 0.00587 x + 1985 .4 1

Got questions? Get instant answers now!

Predict when the population will hit 8,000.

Got questions? Get instant answers now!

For the following exercises, consider this scenario: The profit of a company increased steadily over a ten-year span. The following ordered pairs show the number of units sold in hundreds and the profit in thousands of over the ten year span, (number of units sold, profit) for specific recorded years:

( 46 ,  25 0 ) ,   ( 48 ,  3 0 5 ) ,   ( 5 0 ,  35 0 ) ,   ( 52 ,  39 0 ) ,   ( 54 ,  41 0 ) .

Use linear regression to determine a function y , where the profit in thousands of dollars depends on the number of units sold in hundreds .

y = 2 0. 25 x 671 . 5

Got questions? Get instant answers now!

Predict when the profit will exceed one million dollars.

Got questions? Get instant answers now!

For the following exercises, consider this scenario: The profit of a company decreased steadily over a ten-year span. The following ordered pairs show dollars and the number of units sold in hundreds and the profit in thousands of over the ten-year span (number of units sold, profit) for specific recorded years:

(46, 250), (48, 225), (50, 205), (52, 180), (54, 165) .

Use linear regression to determine a function y , where the profit in thousands of dollars depends on the number of units sold in hundreds .

y = 1 0. 75 x + 742 . 5 0

Got questions? Get instant answers now!

Predict when the profit will dip below the $25,000 threshold.

Got questions? Get instant answers now!

Chapter review exercises

Linear Functions

Determine whether the algebraic equation is linear. 2 x + 3 y = 7

Yes

Got questions? Get instant answers now!

Determine whether the algebraic equation is linear. 6 x 2 y = 5

Got questions? Get instant answers now!

Determine whether the function is increasing or decreasing.

f ( x ) = 7 x 2

Increasing.

Got questions? Get instant answers now!

Questions & Answers

calculate molarity of NaOH solution when 25.0ml of NaOH titrated with 27.2ml of 0.2m H2SO4
Gasin Reply
what's Thermochemistry
rhoda Reply
the study of the heat energy which is associated with chemical reactions
Kaddija
How was CH4 and o2 was able to produce (Co2)and (H2o
Edafe Reply
explain please
Victory
First twenty elements with their valences
Martine Reply
what is chemistry
asue Reply
what is atom
asue
what is the best way to define periodic table for jamb
Damilola Reply
what is the change of matter from one state to another
Elijah Reply
what is isolation of organic compounds
IKyernum Reply
what is atomic radius
ThankGod Reply
Read Chapter 6, section 5
Dr
Read Chapter 6, section 5
Kareem
Atomic radius is the radius of the atom and is also called the orbital radius
Kareem
atomic radius is the distance between the nucleus of an atom and its valence shell
Amos
Read Chapter 6, section 5
paulino
Bohr's model of the theory atom
Ayom Reply
is there a question?
Dr
when a gas is compressed why it becomes hot?
ATOMIC
It has no oxygen then
Goldyei
read the chapter on thermochemistry...the sections on "PV" work and the First Law of Thermodynamics should help..
Dr
Which element react with water
Mukthar Reply
Mgo
Ibeh
an increase in the pressure of a gas results in the decrease of its
Valentina Reply
definition of the periodic table
Cosmos Reply
What is the lkenes
Da Reply
what were atoms composed of?
Moses Reply
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply
Practice Key Terms 5

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Precalculus' conversation and receive update notifications?

Ask