Page 1
1.
Determine whether the following data is linear.
x
y
–3
1
–1
–5
0
–2
2
16
3
31
A)
No; it is not linear.
B)
Yes; it is linear.
2.
Identify A) the slope and B) the y-intercept.
16+8yx=
3.
Identify A) the slope and B) the y-intercept.
–23 + 4 72xy=
4.
A) Rewrite the equation in slope-intercept form,
, and then identify B) the
slope and C) the y-intercept.
–13 + 2 23xy=
5.
The function,
3.4 19wa=+
, gives the weight (in ounces), w, of a cat that is a years of
age.
What are the units of the 3.9 in the formula?
6.
The function,
2.9 19.1wa=+
, gives the weight (in ounces), w, of a cat that is a years of
age.
What are the units of the 3.5 in the formula?
A)
ounces per year
B)
ounces
C)
years
D)
years per ounces
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7.
The function,
3.2 18.5wa=+
, gives the weight (in ounces), w, of a cat that is a years of
age.
What are the units of the 19.2 in the formula?
A)
ounces per year
B)
ounces
C)
years
D)
years per ounces
8.
The function,
30 13st=+
, gives the speed (in miles per hour), s, of a car at time t
minutes.
What are the units of the 30 in the formula?
9.
The function,
30 4st=+
, gives the speed (in miles per hour), s, of a car at time t
minutes.
What are the units of the 45 in the formula?
A)
miles per hour per minute
B)
minutes
C)
miles
D)
miles per hour
10.
The function,
20 2st=+
, gives the speed (in miles per hour), s, of a car at time t
minutes.
What are the units of the 4 in the formula?
A)
miles per hour per minute
B)
minutes
C)
miles
D)
miles per hour
11.
The function,
31,000 800Sy=+
, gives the annual salary, S (in dollars), of a teacher with
y years of experience.
What are the units of the 38,000 in the formula?
12.
The function,
33,000 800Sy=+
, gives the annual salary, S (in dollars), of a teacher with
y years of experience.
What are the units of the 34,000 in the formula?
A)
years
B)
dollars per year
C)
dollars
D)
years per dollar
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13.
The function,
38,000 850Sy=+
, gives the annual salary, S (in dollars), of a teacher with
y years of experience.
What are the units of the 1,150 in the formula?
A)
dollars
B)
dollars per year
C)
years
D)
years per dollar
14.
A used car salesman earns a salary, S, of $200 per week plus a commission of $55 for
each car he sells, c..
A) What is the dependent variable?
B) What is the independent variable?
C) Find a mathematical model that gives weekly salary, S, as a function of number of
cars sold, c.
15.
When there is a 10 mile per hour wind, the wind chill, W, is given by the function
10 0.124WT= − +
, where T is the air temperature (in degrees Fahrenheit). Find the
wind chill with a 10 mile per hour wind and a –13 degree Fahrenheit air temperature.
(Round the answer to 3 decimal places.)
16.
The amount of money spent on food (F) each month for the average household is F(c) =
348.71 + 93.65c. Where c is the number of children in the household. Estimate the
monthly food expense for a household with 5 children. (Round the answer to 2 decimal
places.)
17.
The amount of money spent on food (F) each month for the average household is F(c) =
344.05 + 93.07c. Where c is the number of children in the household. Estimate the
number of children in a household that spends $809.40 per month on food. (Round the
answer to the nearest whole number.)
18.
The function,
4 19.6wa=+
, gives the weight (in ounces), w, of a cat that is a years of
age.
Find the weight (in ounces) of a 7-year old cat.
19.
The function,
( ) 4.3 19.7w a a=+
, gives the weight (in ounces), w, of a cat that is a years
of age.
Evaluate w(7).
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20.
The function,
20 5st=+
, gives the speed (in miles per hour), s, of a car at time t
minutes.
Find the speed (in miles per hour) of the car at time 3 minutes.
21.
The function,
( ) 30 9s t t=+
, gives the speed (in miles per hour), s, of a car at time t
minutes.
Evaluate s(2).
22.
Find the equation of the line for the following set of conditions.
The slope is 3 and the line passes through the point (0,9).
Write your answer in slope-intercept form,
.
23.
Find a linear equation that describes the statement.
A car starts traveling at 20 mph and its speed is increasing by 6 mph each minute
Write your answer in slope-intercept form,
s b mt=+
, in terms of speed, s, and time (in
minutes), t.
24.
A car starts traveling at 5 mph and its speed is increasing by 6 mph each minute.
A) Find a linear equation that describes the statement.
Write your answer in slope-intercept form,
s b mt=+
, in terms of speed, s, and time (in
minutes), t.
B) Use your function to find the speed, in miles per hour, of the car after 5 minutes.
25.
A company purchases a piece of machinery that is initially worth 25,000 dollars and its
worth decreases 600 dollars each year.
Find a linear equation that describes the statement.
Write your answer in slope-intercept form,
W b my=+
, in terms of the machinery’s
worth, W, and years since purchase, y.
26.
A company purchases a piece of machinery that is initially worth 25,000 dollars and its
worth decreases 700 dollars each year.
A) Find a linear equation that describes the statement.
Write your answer in slope-intercept form,
W b my=+
, in terms of the machinery’s
worth, W, and years since purchase, y.
B) Use your function to find the machinery’s worth 3 after being purchased.
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27.
A company purchases a piece of machinery that is initially worth 10,000 dollars and its
worth decreases 600 dollars each year. Estimate how many years it will take for the
value of the piece of machinery to drop to $5,800.
28.
The attendance at a band’s concerts has been steadily increasing, in March their concerts
averaged 1,900 people and the attendance has increased 200 people each month.
A) Find a linear equation that describes the statement.
Write your answer in slope-intercept form,
A b mt=+
, in terms of the concert
attendance, A, and months since March, t.
29.
The attendance at a band’s concerts has been steadily increasing, in March their concerts
averaged 2,300 people and the attendance has increased 160 people each month.
A) Find a linear equation that describes the statement.
Write your answer in slope-intercept form,
A b mt=+
, in terms of the concert
attendance, A, and months since March, t.
B) Use your function to find the band’s average attendance in August.
30.
The attendance at a band’s concerts has been steadily increasing, in March their concerts
averaged 2,400 people and the attendance has increased 100 people each month.
Estimate in which month the bands attendance will reach 2,700 people.
31.
Complete the table for the function M = 11 + 12d.
M
9
13
17
21
25
d
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Answer Key