Multiple Choice
Identify the
choice that best completes the statement or answers the question.
|
|
|
1.
|
Estimate the slope of the line from the graph.
|
|
|
2.
|
Sketch the line passing through the point (3, 4)
with the slope  .
|
|
|
3.
|
Find the slope of the line passing through the pair of points. 
|
|
|
4.
|
Find the slope of the line passing through the points  and  .
a. | 63 | b. |  21 | c. | 42 | d. | 21 | e. |  42 |
|
|
|
5.
|
If a line has slope  and passes through the point  ,
through which of the following points does the line also pass?
|
|
|
6.
|
A moving conveyor is built to rise 5 meters for every 7 meters of horizontal
change. Find the slope of the conveyor.
|
|
|
7.
|
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 |
|
|
|
8.
|
Find the slope of the line  .
|
|
|
9.
|
Find the y-intercept of the line  .
|
|
|
10.
|
Find an equation of the line that passes through the point 
and has the slope m that is undefined.
|
|
|
11.
|
Find an equation of the line that passes through the point 
and has the slope  .
|
|
|
12.
|
Find an equation of the line that passes through the points 
and  .
|
|
|
13.
|
Find an equation of the line that passes through the points  and  .
|
|
|
14.
|
|
|
|
15.
|
Sketch a graph of the equation  .
|
|
|
16.
|
Write an equation of the line that passes through the given point and is
perpendicular to the given line.
|
|
|
17.
|
Write an equation of the line that passes through the given point and is
parallel to the given line. 
|
|
|
18.
|
Write an equation of the line that passes through
the point  and is
perpendicular to the line  .
|
|
|
19.
|
Write an equation of the line that passes through the point 
and is parallel to the line  .
|
|
|
20.
|
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  .
|
|
|
21.
|
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 |
|
|
|
22.
|
Find the distance between the point  and line 
using the formula,  for the distance between the point  and the line  .
|
|
|
23.
|
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.
|
|
|
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.
|
|
|
25.
|
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 |
|