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Deck 1: Section 2: Preparation for Calculus
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Question
Sketch the line passing through the point (3, 4) with the slope 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
A moving conveyor is built to rise 5 meters for every 7 meters of horizontal change. Find the slope of the conveyor.
A) 0
B)
C)
D)
E)
A) 0
B)
C)
D)
E)
Question
Write an equation of the line that passes through the given point and is parallel to the given line. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the y-intercept of the line 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
If a line has slope 
and passes through the point 
, through which of the following points does the line also pass?
A)
B)
C)
D)
E)
and passes through the point , through which of the following points does the line also pass?A)
B)
C)
D)
E)
Question
Use the result, "the line with intercepts 
has the equation 
, 
, 
", to write an equation of the line with x-intercept: 
and y-intercept: 
.
A)
B)
C)
D)
E)
has the equation , , ", to write an equation of the line with x-intercept: and y-intercept: .A)
B)
C)
D)
E)
Question
Find the slope of the line passing through the points 
and 
.
A) 63
B)
21
C) 42
D) 21
E)
42
and .A) 63
B)
21C) 42
D) 21
E)
42 Question
Question
Sketch a graph of the equation 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Estimate the slope of the line from the graph. 
A)
B) 5
C) 2
D)
E)
A)
B) 5
C) 2
D)
E)
Question
Find an equation of the line that passes through the points 
and 
.
A)
B)
C)
D)
E)
and .A)
B)
C)
D)
E)
Question
Write an equation of the line that passes through the given point and is perpendicular to the given line. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find an equation of the line that passes through the points 
and 
.
A)
B)
C)
D)
E)
and .A)
B)
C)
D)
E)
Question
Find an equation of the line that passes through the point 
and has the slope 
.
A)
- 
B)
+ 
C)
+ 162
D)
E)
and has the slope .A)
- B)
+ C)
+ 162D)
E)
Question
Find the slope of the line passing through the pair of points. 
A)
B)
C)
D) 0
E)
A)
B)
C)
D) 0
E)
Question
Find an equation of the line that passes through the point 
and has the slope m that is undefined.
A)
B)
C)
D)
E)
and has the slope m that is undefined.A)
B)
C)
D)
E)
Question
Write an equation of the line that passes through the point 
and is perpendicular to the line 
.
A)
B)
C)
D)
E)
and is perpendicular to the line .A)
B)
C)
D)
E)
Question
Write an equation of the line that passes through the point 
and is parallel to the line 
.
A)
B)
C)
D)
E)
and is parallel to the line .A)
B)
C)
D)
E)
Question
Suppose that the dollar value of a product in 
is 
and the rate at which the value of the product is expected to increase per year during the next 
years is 
. Write a linear equation that gives the dollar value 
of the product in terms of the year 
. (Let 
represent 
.) Round the numerical values in your answer to one decimal place, where applicable.
A)
B)
C)
D)
E)
is and the rate at which the value of the product is expected to increase per year during the next years is . Write a linear equation that gives the dollar value of the product in terms of the year . (Let represent .) Round the numerical values in your answer to one decimal place, where applicable.A)
B)
C)
D)
E)
Question
Find the slope of the line 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
Find the distance between the point 
and line 
using the formula, 
for the distance between the point 
and the line 
.
A)
B)
C)
D)
E)
and line using the formula, for the distance between the point and the line .A)
B)
C)
D)
E)
Question
A company reimburses its sales representatives 
per day for lodging and meals plus 
¢ per mile driven. How much does it cost the company if a sales representative drives 
miles on a given day? Round your answer to the nearest cent.
A) 227.20
B) 216.70
C) 136.35
D) 161.35
E) 191.70
per day for lodging and meals plus ¢ per mile driven. How much does it cost the company if a sales representative drives miles on a given day? Round your answer to the nearest cent.A) 227.20
B) 216.70
C) 136.35
D) 161.35
E) 191.70
Question
A real estate office handles an apartment complex with 
units. When the rent is 
per month, all 
units are occupied. However, when the rent is $ 
, the average number of occupied units drops to 
. Assume that the relationship between the monthly rent 
and the demand 
is linear. Predict the number of units occupied if the rent is raised to 
.
A) 43 units
B) 54 units
C) 57 units
D) 49 units
E) 46 units
units. When the rent is per month, all units are occupied. However, when the rent is $ , the average number of occupied units drops to . Assume that the relationship between the monthly rent and the demand is linear. Predict the number of units occupied if the rent is raised to .A) 43 units
B) 54 units
C) 57 units
D) 49 units
E) 46 units
Question
A company reimburses its sales representatives 
per day for lodging and meals plus 
¢ per mile driven. Write a linear equation giving the daily cost 
to the company in terms of 
, the number of miles driven. Round the numerical values in your answer to two decimal places, where applicable.
A)
B)
C)
D)
E)
per day for lodging and meals plus ¢ per mile driven. Write a linear equation giving the daily cost to the company in terms of , the number of miles driven. Round the numerical values in your answer to two decimal places, where applicable.A)
B)
C)
D)
E)
Question
A real estate office handles an apartment complex with 
units. When the rent is 
per month, all 
units are occupied. However, when the rent is 
, the average number of occupied units drops to 
. Assume that the relationship between the monthly rent 
and the demand 
is linear. Write a linear equation giving the demand 
in terms of the rent 
.
A)
B)
C)
D)
E)
units. When the rent is per month, all units are occupied. However, when the rent is , the average number of occupied units drops to . Assume that the relationship between the monthly rent and the demand is linear. Write a linear equation giving the demand in terms of the rent .A)
B)
C)
D)
E)
Question
Find an equation of the line through the points of intersection of 
and 
.
A)
B)
C)
D)
E)
and .A)
B)
C)
D)
E)
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Deck 1: Section 2: Preparation for Calculus
1
Sketch the line passing through the point (3, 4) with the slope .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
2
A moving conveyor is built to rise 5 meters for every 7 meters of horizontal change. Find the slope of the conveyor.
A) 0
B)
C)
D)
E)
A) 0
B)
C)
D)
E)
3
Write an equation of the line that passes through the given point and is parallel to the given line.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find the y-intercept of the line .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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5
If a line has slope and passes through the point , through which of the following points does the line also pass?
A)
B)
C)
D)
E)
and passes through the point , through which of the following points does the line also pass?A)
B)
C)
D)
E)
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6
Use the result, "the line with intercepts has the equation , , ", to write an equation of the line with x-intercept: and y-intercept: .
A)
B)
C)
D)
E)
has the equation , , ", to write an equation of the line with x-intercept: and y-intercept: .A)
B)
C)
D)
E)
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7
Find the slope of the line passing through the points and .
A) 63
B) 21
C) 42
D) 21
E) 42
and .A) 63
B)
21C) 42
D) 21
E)
42 Unlock Deck
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8
A moving conveyor is built to rise 1 meter for every 5 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) 61 meters
B) 39 meters
C) 51 meters
D) 50 meters
E) 41 meters
A) 61 meters
B) 39 meters
C) 51 meters
D) 50 meters
E) 41 meters
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9
Sketch a graph of the equation .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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10
Estimate the slope of the line from the graph.
A)
B) 5
C) 2
D)
E)
A)
B) 5
C) 2
D)
E)
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11
Find an equation of the line that passes through the points and .
A)
B)
C)
D)
E)
and .A)
B)
C)
D)
E)
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12
Write an equation of the line that passes through the given point and is perpendicular to the given line.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Find an equation of the line that passes through the points and .
A)
B)
C)
D)
E)
and .A)
B)
C)
D)
E)
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14
Find an equation of the line that passes through the point and has the slope .
A) -
B) +
C) + 162
D)
E)
and has the slope .A)
- B)
+ C)
+ 162D)
E)
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15
Find the slope of the line passing through the pair of points.
A)
B)
C)
D) 0
E)
A)
B)
C)
D) 0
E)
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16
Find an equation of the line that passes through the point and has the slope m that is undefined.
A)
B)
C)
D)
E)
and has the slope m that is undefined.A)
B)
C)
D)
E)
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17
Write an equation of the line that passes through the point and is perpendicular to the line .
A)
B)
C)
D)
E)
and is perpendicular to the line .A)
B)
C)
D)
E)
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18
Write an equation of the line that passes through the point and is parallel to the line .
A)
B)
C)
D)
E)
and is parallel to the line .A)
B)
C)
D)
E)
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19
Suppose that the dollar value of a product in is and the rate at which the value of the product is expected to increase per year during the next years is . Write a linear equation that gives the dollar value of the product in terms of the year . (Let represent .) Round the numerical values in your answer to one decimal place, where applicable.
A)
B)
C)
D)
E)
is and the rate at which the value of the product is expected to increase per year during the next years is . Write a linear equation that gives the dollar value of the product in terms of the year . (Let represent .) Round the numerical values in your answer to one decimal place, where applicable.A)
B)
C)
D)
E)
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20
Find the slope of the line .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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21
Find the distance between the point and line using the formula, for the distance between the point and the line .
A)
B)
C)
D)
E)
and line using the formula, for the distance between the point and the line .A)
B)
C)
D)
E)
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22
A company reimburses its sales representatives per day for lodging and meals plus ¢ per mile driven. How much does it cost the company if a sales representative drives miles on a given day? Round your answer to the nearest cent.
A) 227.20
B) 216.70
C) 136.35
D) 161.35
E) 191.70
per day for lodging and meals plus ¢ per mile driven. How much does it cost the company if a sales representative drives miles on a given day? Round your answer to the nearest cent.A) 227.20
B) 216.70
C) 136.35
D) 161.35
E) 191.70
Unlock Deck
Unlock for access to all 26 flashcards in this deck.
Unlock Deck
k this deck
23
A real estate office handles an apartment complex with units. When the rent is per month, all units are occupied. However, when the rent is $ , the average number of occupied units drops to . Assume that the relationship between the monthly rent and the demand is linear. Predict the number of units occupied if the rent is raised to .
A) 43 units
B) 54 units
C) 57 units
D) 49 units
E) 46 units
units. When the rent is per month, all units are occupied. However, when the rent is $ , the average number of occupied units drops to . Assume that the relationship between the monthly rent and the demand is linear. Predict the number of units occupied if the rent is raised to .A) 43 units
B) 54 units
C) 57 units
D) 49 units
E) 46 units
Unlock Deck
Unlock for access to all 26 flashcards in this deck.
Unlock Deck
k this deck
24
A company reimburses its sales representatives per day for lodging and meals plus ¢ per mile driven. Write a linear equation giving the daily cost to the company in terms of , the number of miles driven. Round the numerical values in your answer to two decimal places, where applicable.
A)
B)
C)
D)
E)
per day for lodging and meals plus ¢ per mile driven. Write a linear equation giving the daily cost to the company in terms of , the number of miles driven. Round the numerical values in your answer to two decimal places, where applicable.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 26 flashcards in this deck.
Unlock Deck
k this deck
25
A real estate office handles an apartment complex with units. When the rent is per month, all units are occupied. However, when the rent is , the average number of occupied units drops to . Assume that the relationship between the monthly rent and the demand is linear. Write a linear equation giving the demand in terms of the rent .
A)
B)
C)
D)
E)
units. When the rent is per month, all units are occupied. However, when the rent is , the average number of occupied units drops to . Assume that the relationship between the monthly rent and the demand is linear. Write a linear equation giving the demand in terms of the rent .A)
B)
C)
D)
E)
Unlock Deck
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26
Find an equation of the line through the points of intersection of and .
A)
B)
C)
D)
E)
and .A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 26 flashcards in this deck.
Unlock Deck
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Unlock Deck
Unlock for access to all 26 flashcards in this deck.
