# Section_P.2 Linear Models and Rates of Change AB/BC

Education

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All Questions

24

Multiple Choice

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Essay

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Q 1

Estimate the slope of the line from the graph.
A)
B)5
C)2
D)
E)

Free

Multiple Choice

B

Q 2

Sketch the line passing through the point with the slope .
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B)
C)
D)
E)

Free

Multiple Choice

D

Q 3

Find the slope of the line passing through the pair of points. ,
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B)
C)
D)
E)0

Free

Multiple Choice

B

Q 4

Find the slope of the line passing through the points and .
A)15
B)-5
C)
D)5
E)-

Multiple Choice

Q 5

If a line has slope and passes through the point ,through which of the following points does the line also pass?
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B)
C)
D)
E)

Multiple Choice

Q 6

A moving conveyor is built to rise 5 meters for every 12 meters of horizontal change.Find the slope of the conveyor.
A)0
B)
C)
D)
E)

Multiple Choice

Q 7

A moving conveyor is built to rise 1 meter for every 9 meters of horizontal change.Suppose the conveyor runs between two floors in a factory.Find the length of the conveyor if the vertical distance between floors is 10 meters.Round your answer to the nearest meter.
A)100 meters
B)79 meters
C)91 meters
D)90 meters
E)81 meters

Multiple Choice

Q 8

Find the slope of the line .
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B)
C)
D)
E)

Multiple Choice

Q 9

Find the y-intercept of the line .
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B)
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D)
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Multiple Choice

Q 10

Find an equation of the line that passes through the point and has the slope m that is undefined.
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B)
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Multiple Choice

Q 11

Find an equation of the line that passes through the point and has the slope .
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Multiple Choice

Q 12

Find an equation of the line that passes through the points and .
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B)
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E)

Multiple Choice

Q 13

Find an equation of the line that passes through the points and .
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E)

Multiple Choice

Q 14

Use the result,"the line with intercepts and has the equation , , ",to write an equation of the line with x-intercept: and y-intercept: .
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E)

Multiple Choice

Q 15

Sketch a graph of the equation .
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Multiple Choice

Q 16

Write an equation of the line that passes through the point and is perpendicular to the line .
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Multiple Choice

Q 17

Write an equation of the line that passes through the point and is parallel to the line .
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Multiple Choice

Q 18

Suppose that the dollar value of a product in 2008 is $150 and the rate at which the value of the product is expected to increase per year during the next 5 years is $4.5.Write a linear equation that gives the dollar value V of the product in terms of the year t.(Let represent 2000. )Round the numerical values in your answer to one decimal place,where applicable.
A)
B)
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D)
E)

Multiple Choice

Q 19

Find an equation of the line through the points of intersection of and .
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Multiple Choice

Q 20

A company reimburses its sales representatives $145 per day for lodging and meals plus 42¢ per mile driven.Write a linear equation giving the daily cost C to the company in terms of x,the number of miles driven.Round the numerical values in your answer to two decimal places,where applicable.
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B)
C)
D)
E)

Multiple Choice

Q 21

A company reimburses its sales representatives $155 per day for lodging and meals plus 40¢ per mile driven.How much does it cost the company if a sales representative drives 133 miles on a given day? Round your answer to the nearest cent.
A)217.00
B)208.20
C)134.33
D)156.33
E)186.20

Multiple Choice

Q 22

A real estate office handles an apartment complex with 50 units.When the rent is $680 per month,all 50 units are occupied.However,when the rent is $725,the average number of occupied units drops to 47.Assume that the relationship between the monthly rent p and the demand x is linear.Write a linear equation giving the demand x in terms of the rent p.
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B)
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E)

Multiple Choice

Q 23

A real estate office handles an apartment complex with 50 units.When the rent is $700 per month,all 50 units are occupied.However,when the rent is $745,the average number of occupied units drops to 47.Assume that the relationship between the monthly rent p and the demand x is linear.Predict the number of units occupied if the rent is raised to $790.
A)41 units
B)56 units
C)59 units
D)47 units
E)44 units

Multiple Choice

Q 24

Find the distance between the point and line using the formula, for the distance between the point and the line .
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B)
C)
D)

Multiple Choice