100

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Parallel
100
For exercise, you swim several times a week.
Currently, you swim 5 laps each time you swim.
You want to gradually increase the number of
laps each time you swim. Your plan is to swim 2
additional laps each time you swim. Write an
equation that gives the total number of laps you
swim as a function of the number of times you
have been swimming since you started adding
laps. Find the total number of laps you will swim
in 8 weeks if you swim 3 times a week.
200
A printing shop charges $50 to set up its
equipment to print flyers. If the order is less than
1000 flyers, the shop charges $.45 to print each
flyer. If the order is 1000 flyers or more, the shop
charges $.30 to print each flyer. Write an equation
that gives the total cost (in dollars) for printing less
than 1000 flyers as a function of the number of
flyers printed. What is the domain of the function
from part? Explain. Use the equation to determine
how many flyers you can have printed for $400.
300
A printing shop charges $50 to set up its
equipment to print flyers. If the order is less than
1000 flyers, the shop charges $.45 to print each
flyer. If the order is 1000 flyers or more, the shop
charges $.30 to print each flyer. Write an equation
that gives the total cost (in dollars) for printing
1000 flyers or more as a function of the number of
flyers printed. What is the domain of the function
from part? Explain. Use the equation to determine
how many flyers you can have printed for $400.
400
You are scheduled to start your job at a
car wash 2 hours after the car wash
opens. Three hours after you start, a
total of 47 cars have been washed
since the car wash opened. Three
hours later, a total of 55 cars have
been washed. At what rate are the cars
being washed? How many cars were
washed before you started work?
500
A newspaper charges a flat rate to place a 3-line ad
in the classified section of the newspaper and then
charges a per line fee for any additional lines. One
person paced a 4-line ad for $17.10 and another
person placed a 6-line ad for $22.50. Write an
equation that gives the total cost (in dollars) as a
function of the number of lines in the ad. What to
the rate of change and the initial value in your
equation represent?
100
Graph the equation.
y + 3 = 4(x – 5)
200
Graph the equation.
y – 4 = -3/2(x + 5)
300
From 1990 to 2000, the number of
thousand visits by people to Hawaii
Volcanoes National Park increased by
about 43.1 thousand visits per year. In
2000, there were about 1529.6 thousand
visits to the park. Write an equation that
gives the number of thousand visits as a
function of the number of years since
1990.
400
Find the value of k so that the line
passing through the given points has
the given slope. Write an equation of
the line in point-slope form.
(k, k + 1), (k – 3, 3k + 4), m = 2
500
Find the value of k so that the line
passing through the given points has
the given slope. Write an equation of
the line in point-slope form.
(k + 2, k – 1), (–3, k + 1), m = 1
100
Write equations of the
horizontal and the vertical
lines that pass through the
given point.
(–9, –3)
200
You have $5 to spend on guitar picks.
You want to buy some nylon picks for
$.35 each and celluloid picks for $.25
each. Write an equation in standard
form that models the possible
combinations of nylon and celluloid
picks you can buy.
300
Your cell phone plan charges you $.02 to
send a text message and $.07 to receive
a text message. You plan to spend no
more than $5 a month on text messaging.
Write an equation in standard form that
models the possible combinations of sent
text messages and received text
messages.
400
Write an equation in
standard form of the line
that passes through the
two points.
(p, q), (2, 3), p ≠ 2
500
Write an equation in
standard form of the
line that passes
through the two points.
(2p, 3q), (3p, 2q), p ≠ 0
100
Write an equation of the line
that passes through the given
point and is parallel to the
given line.
(–1, 4), 8x + 2y = 11
200
Write an equation of the line
that passes through the given
point and is perpendicular to
the given line.
(17, –3), 9x – 6y = 4
300
Write an equation of the line
that passes through the given
point and is parallel to the
given line.
(0, – 13), 4x – 4y = 12
400
Write an equation of the line
that passes through the given
point and is perpendicular to
the given line.
(–7, 7), 4x + 3y = 8
500
You are planning the scale model of a town that you will
build. For now, you are laying everything out on a
coordinate plane as shown. You want to draw Wooster
Street so that it is perpendicular to Main Street. You know
that Wooster Street will pass through the point (–3, 8.75).
Find the equation of the line for Wooster Street so that it is
perpendicular to Main Street.
100
Make a scatter plot of the data. Draw a line of fit. Write
an equation for the line.
x
–2
–1
–1
0
1
2
y
2
1
0
–1
–2
–3
200
Make a scatter plot of the data. Draw a line of
fit. Write an equation for the line.
x
y
–1 0 1 2 3
–5 –3 –2 –2 0
4
1
300
Find the zero of the
function.
f(x) = –3(x + 4)
400
Find the zero of the
function.
f(x) = 6(3x + 5) –4
500
The table shows the percent of U.S. households with
computers from 1995 to 2000.
Year
Percent with
Computers
1995 1996 1997 1998 1999 2000
31.7 35.5 39.2 42.6 48.2 53.0
a.Make a scatter plot of the data where x represents the
number of years since 1995 and y represents the percent
of households with computers.
b.Find an equation that models the percent of households
as a function of the number of years since 1995.
c.Predict how many households will have computers in
2009.
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