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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
Discuss the differences between taste and flavor, including how other sensory inputs contribute to our perception of flavor.
taste refers to your understanding of the flavor . while flavor one The other hand is refers to sort of just a blend things.
Faith
While taste primarily relies on our taste buds, flavor involves a complex interplay between taste and aroma
Kamara
which drugs can we use for ulcers
Omeprazole
Cimetidine / Tagament
For the complicated once ulcer - kit
Patrick
what is the function of lymphatic system
to drain extracellular fluid all over the body.
asegid
The lymphatic system plays several crucial roles in the human body, functioning as a key component of the immune system and contributing to the maintenance of fluid balance. Its main functions include:
1. Immune Response: The lymphatic system produces and transports lymphocytes, which are a type of
asegid
to transport fluids fats proteins and lymphocytes to the blood stream as lymph
Adama
Anatomy is the identification and description of the structures of living things
Kamara
what's the difference between anatomy and physiology
Anatomy is the study of the structure of the body, while physiology is the study of the function of the body. Anatomy looks at the body's organs and systems, while physiology looks at how those organs and systems work together to keep the body functioning.
AI-Robot
what is enzymes all about?
Enzymes are proteins that help speed up chemical reactions in our bodies. Enzymes are essential for digestion, liver function and much more. Too much or too little of a certain enzyme can cause health problems
Kamara
how does the stomach protect itself from the damaging effects of HCl
little girl okay how does the stomach protect itself from the damaging effect of HCL
Wulku
it is because of the enzyme that the stomach produce that help the stomach from the damaging effect of HCL
Kamara
function of digestive system
function of digestive
Ali
what is the normal body temperature
please why 37 degree selcius normal temperature
Mark
the normal temperature is 37°c or 98.6 °Fahrenheit is important for maintaining the homeostasis in the body
the body regular this temperature through the process called thermoregulation which involves brain skin muscle and other organ working together to maintain stable internal temperature
Stephanie
anaemia is the decrease in RBC count hemoglobin count and PVC count
Eniola
what is the pH of the vagina
how does Lysin attack pathogens
Diya
I information on anatomy position and digestive system and there enzyme
anatomy of the female external genitalia
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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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