<< Chapter < Page Chapter >> Page >

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!

Determine whether the function is increasing or decreasing.

g ( x ) = x + 2

Got questions? Get instant answers now!

Given each set of information, find a linear equation that satisfies the given conditions, if possible.

Passes through ( 7 , 5 ) and ( 3 , 17 )

y = 3 x + 26

Got questions? Get instant answers now!

Given each set of information, find a linear equation that satisfies the given conditions, if possible.

x -intercept at ( 6 , 0 ) and y -intercept at ( 0 , 1 0 )

Got questions? Get instant answers now!

Find the slope of the line shown in the graph.

This is a graph of an increasing line with a y-intercept of -3 and x-intercept of 1 on an x, y coordinate plane.  The x and y-axis range from -6 to 6.

3

Got questions? Get instant answers now!

Find the slope of the line graphed.

This is a graph of a line with a y-intercept of -2 and no x-intercepts on an x, y coordinate plane.  The x- and y-axis range from -6 to 6
Got questions? Get instant answers now!

Write an equation in slope-intercept form for the line shown.

This is a graph of a line with a y-intercept of -2 and x-intercept of 1 on an x, y coordinate plane.  The x- and y-axis both range from -6 to 6.

y = 2 x 2

Got questions? Get instant answers now!

Does the following table represent a linear function? If so, find the linear equation that models the data.

x –4 0 2 10
g(x) 18 –2 –12 –52
Got questions? Get instant answers now!

Does the following table represent a linear function? If so, find the linear equation that models the data.

x 6 8 12 26
g(x) –8 –12 –18 –46

Not linear.

Got questions? Get instant answers now!

On June 1 st , a company has $4,000,000 profit. If the company then loses 150,000 dollars per day thereafter in the month of June, what is the company’s profit n th day after June 1 st ?

Got questions? Get instant answers now!

For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, or neither parallel nor perpendicular:

2 x 6 y = 12 x + 3 y = 1

parallel

Got questions? Get instant answers now!

y = 1 3 x 2 3 x + y = 9

Got questions? Get instant answers now!

For the following exercises, find the x - and y - intercepts of the given equation

7 x + 9 y = 63

( –9 , 0 ) ; ( 0 , –7 )

Got questions? Get instant answers now!

For the following exercises, use the descriptions of the pairs of lines to find the slopes of Line 1 and Line 2. Is each pair of lines parallel, perpendicular, or neither?

Line 1: Passes through ( 5 , 11 ) and ( 10 , 1 )

Line 2: Passes through ( −1 , 3 ) and ( −5 , 11 )

Line 1: m = 2 ; Line 2: m = 2 ; Parallel

Got questions? Get instant answers now!

Line 1: Passes through ( 8 , −10 ) and ( 0 , −26 )

Line 2: Passes through ( 2 , 5 ) and ( 4 , 4 )

Got questions? Get instant answers now!

Write an equation for a line perpendicular to f ( x ) = 5 x 1 and passing through the point (5, 20).

y = 0.2 x + 21

Got questions? Get instant answers now!

Find the equation of a line with a y - intercept of ( 0 , 2 ) and slope 1 2 .

Got questions? Get instant answers now!

Sketch a graph of the linear function f ( t ) = 2 t 5.


This is a graph of f of t = 2 times t minus 5 on a x, y coordinate plane.  The x-axis ranges from -4 to 6 and the y-axis ranges from -6 to 6. The curve is an increasing linear function that goes through the points (0,-5) and (2.5,0).

Got questions? Get instant answers now!

Find the point of intersection for the 2 linear functions: x = y + 6 2 x y = 13 .

Got questions? Get instant answers now!

A car rental company offers two plans for renting a car.

Plan A: 25 dollars per day and 10 cents per mile

Plan B: 50 dollars per day with free unlimited mileage

How many miles would you need to drive for plan B to save you money?

More than 250

Got questions? Get instant answers now!

Modeling with Linear Functions

Find the area of a triangle bounded by the y axis, the line f ( x ) = 10 2 x , and the line perpendicular to f that passes through the origin.

Got questions? Get instant answers now!

A town’s population increases at a constant rate. In 2010 the population was 55,000. By 2012 the population had increased to 76,000. If this trend continues, predict the population in 2016.

118,000

Got questions? Get instant answers now!

The number of people afflicted with the common cold in the winter months dropped steadily by 50 each year since 2004 until 2010. In 2004, 875 people were inflicted.

Find the linear function that models the number of people afflicted with the common cold C as a function of the year, t . When will no one be afflicted?

Got questions? Get instant answers now!

For the following exercises, use the graph in [link] showing the profit, y , in thousands of dollars, of a company in a given year, x , where x represents years since 1980.

Questions & Answers

what is mutation
Janga Reply
what is a cell
Sifune Reply
how is urine form
Sifune
what is antagonism?
mahase Reply
classification of plants, gymnosperm features.
Linsy Reply
what is the features of gymnosperm
Linsy
how many types of solid did we have
Samuel Reply
what is an ionic bond
Samuel
What is Atoms
Daprince Reply
what is fallopian tube
Merolyn
what is bladder
Merolyn
what's bulbourethral gland
Eduek Reply
urine is formed in the nephron of the renal medulla in the kidney. It starts from filtration, then selective reabsorption and finally secretion
onuoha Reply
State the evolution relation and relevance between endoplasmic reticulum and cytoskeleton as it relates to cell.
Jeremiah
what is heart
Konadu Reply
how is urine formed in human
Konadu
how is urine formed in human
Rahma
what is the diference between a cavity and a canal
Pelagie Reply
what is the causative agent of malaria
Diamond
malaria is caused by an insect called mosquito.
Naomi
Malaria is cause by female anopheles mosquito
Isaac
Malaria is caused by plasmodium Female anopheles mosquitoe is d carrier
Olalekan
a canal is more needed in a root but a cavity is a bad effect
Commander
what are pathogens
Don Reply
In biology, a pathogen (Greek: πάθος pathos "suffering", "passion" and -γενής -genēs "producer of") in the oldest and broadest sense, is anything that can produce disease. A pathogen may also be referred to as an infectious agent, or simply a germ. The term pathogen came into use in the 1880s.[1][2
Zainab
A virus
Commander
Definition of respiration
Muhsin Reply
respiration is the process in which we breath in oxygen and breath out carbon dioxide
Achor
how are lungs work
Commander
where does digestion begins
Achiri Reply
in the mouth
EZEKIEL
what are the functions of follicle stimulating harmones?
Rashima Reply
stimulates the follicle to release the mature ovum into the oviduct
Davonte
what are the functions of Endocrine and pituitary gland
Chinaza
endocrine secrete hormone and regulate body process
Achor
while pituitary gland is an example of endocrine system and it's found in the Brain
Achor
what's biology?
Egbodo Reply
Biology is the study of living organisms, divided into many specialized field that cover their morphology, physiology,anatomy, behaviour,origin and distribution.
Lisah
biology is the study of life.
Alfreda
Biology is the study of how living organisms live and survive in a specific environment
Sifune
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, College algebra. OpenStax CNX. Feb 06, 2015 Download for free at https://legacy.cnx.org/content/col11759/1.3
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

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

Ask