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- Use the slope–intercept form of
The equation
models the relation between the amount of Tuyet’s monthly water bill payment,
P , in dollars, and the number of units of water,
w , used.
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ⓐ Find Tuyet’s payment for a month when 0 units of water are used.
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ⓑ Find Tuyet’s payment for a month when 12 units of water are used.
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ⓒ Interpret the slope and
P -intercept of the equation.
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ⓓ Graph the equation.
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The equation
models the relation between the amount of Randy’s monthly water bill payment,
P , in dollars, and the number of units of water,
w , used.
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ⓐ Find the payment for a month when Randy used 0 units of water.
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ⓑ Find the payment for a month when Randy used 15 units of water.
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ⓒ Interpret the slope and
P -intercept of the equation.
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ⓓ Graph the equation.
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ⓐ $28
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ⓑ $66.10
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ⓒ The slope, 2.54, means that Randy’s payment,
P , increases by $2.54 when the number of units of water he used,
w, increases by 1. The
P –intercept means that if the number units of water Randy used was 0, the payment would be $28.
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ⓓ
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Bruce drives his car for his job. The equation
models the relation between the amount in dollars,
R , that he is reimbursed and the number of miles,
m , he drives in one day.
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ⓐ Find the amount Bruce is reimbursed on a day when he drives 0 miles.
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ⓑ Find the amount Bruce is reimbursed on a day when he drives 220 miles.
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ⓒ Interpret the slope and
R -intercept of the equation.
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ⓓ Graph the equation.
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Janelle is planning to rent a car while on vacation. The equation
models the relation between the cost in dollars,
C , per day and the number of miles,
m , she drives in one day.
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ⓐ Find the cost if Janelle drives the car 0 miles one day.
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ⓑ Find the cost on a day when Janelle drives the car 400 miles.
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ⓒ Interpret the slope and
C –intercept of the equation.
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ⓓ Graph the equation.
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ⓐ $15
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ⓑ $143
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ⓒ The slope, 0.32, means that the cost,
C , increases by $0.32 when the number of miles driven,
m, increases by 1. The
C -intercept means that if Janelle drives 0 miles one day, the cost would be $15.
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ⓓ
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Cherie works in retail and her weekly salary includes commission for the amount she sells. The equation
models the relation between her weekly salary,
S , in dollars and the amount of her sales,
c , in dollars.
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ⓐ Find Cherie’s salary for a week when her sales were 0.
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ⓑ Find Cherie’s salary for a week when her sales were 3600.
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ⓒ Interpret the slope and
S –intercept of the equation.
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ⓓ Graph the equation.
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Patel’s weekly salary includes a base pay plus commission on his sales. The equation
models the relation between his weekly salary,
S , in dollars and the amount of his sales,
c , in dollars.
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ⓐ Find Patel’s salary for a week when his sales were 0.
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ⓑ Find Patel’s salary for a week when his sales were 18,540.
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ⓒ Interpret the slope and
S -intercept of the equation.
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ⓓ Graph the equation.
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ⓐ $750
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ⓑ $2418.60
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ⓒ The slope, 0.09, means that Patel’s salary,
S , increases by $0.09 for every $1 increase in his sales. The
S -intercept means that when his sales are $0, his salary is $750.
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ⓓ
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Costa is planning a lunch banquet. The equation
models the relation between the cost in dollars,
C , of the banquet and the number of guests,
g .
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ⓐ Find the cost if the number of guests is 40.
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ⓑ Find the cost if the number of guests is 80.
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ⓒ Interpret the slope and
C -intercept of the equation.
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ⓓ Graph the equation.
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Margie is planning a dinner banquet. The equation
models the relation between the cost in dollars,
C of the banquet and the number of guests,
g .
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ⓐ Find the cost if the number of guests is 50.
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ⓑ Find the cost if the number of guests is 100.
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ⓒ Interpret the slope and
C –intercept of the equation.
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ⓓ Graph the equation.
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ⓐ $2850
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ⓑ $4950
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ⓒ The slope, 42, means that the cost,
C , increases by $42 for when the number of guests increases by 1. The
C -intercept means that when the number of guests is 0, the cost would be $750.
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ⓓ
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Use Slopes to Identify Parallel Lines
In the following exercises, use slopes and y-intercepts to determine if the lines are parallel.
Use Slopes to Identify Perpendicular Lines
In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular.
Everyday math
The equation
can be used to convert temperatures
F , on the Fahrenheit scale to temperatures,
C , on the Celsius scale.
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ⓐ Explain what the slope of the equation means.
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ⓑ Explain what the
C –intercept of the equation means.
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The equation
is used to estimate the number of cricket chirps,
n , in one minute based on the temperature in degrees Fahrenheit,
T .
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ⓐ Explain what the slope of the equation means.
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ⓑ Explain what the
n –intercept of the equation means. Is this a realistic situation?
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ⓐ For every increase of one degree Fahrenheit, the number of chirps increases by four.
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ⓑ There would be
chirps when the Fahrenheit temperature is
. (Notice that this does not make sense; this model cannot be used for all possible temperatures.)
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Writing exercises
Self check
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ After looking at the checklist, do you think you are well-prepared for the next section? Why or why not?
Questions & Answers
the diagram of the digestive system
allimentary cannel
Ogenrwot
They formed in two ways first when one sperm and one egg are splited by mitosis or two sperm and two eggs join together
Oluwatobi
Genetics is the study of heredity
Misack
how does twins formed?
Misack
discuss biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles
the study of living organisms and their interactions with one another and their environments
AI-Robot
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form
list any five characteristics of the blood cells
Shaker
lack electricity and its more savely than electronic microscope because its naturally by using of light
advantage of electronic microscope is easily and clearly while disadvantage is dangerous because its electronic. advantage of light microscope is savely and naturally by sun while disadvantage is not easily,means its not sharp and not clear
Abdullahi
cell theory state that every organisms composed of one or more cell,cell is the basic unit of life
Abdullahi
is like gone fail us
DENG
cells is the basic structure and functions of all living things
Ramadan
is organisms that are similar into groups called tara
Yamosa
in what situation (s) would be the use of a scanning electron microscope be ideal and why?
A scanning electron microscope (SEM) is ideal for situations requiring high-resolution imaging of surfaces. It is commonly used in materials science, biology, and geology to examine the topography and composition of samples at a nanoscale level. SEM is particularly useful for studying fine details,
Hilary
cell is the building block of life.
Diversity of living thing
ISCONT
Cell division is the process by which a single cell divides into two or more daughter cells. It is a fundamental process in all living organisms and is essential for growth, development, and reproduction. Cell division can occur through either mitosis or meiosis.
AI-Robot
life is defined as any system capable of performing functions such as eating, metabolizing,excreting,breathing,moving,Growing,reproducing,and responding to external stimuli.
Mohamed
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Source:
OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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