Larson_Calculus_10e ch00sec02
MULTIPLE CHOICE
1. Estimate the slope of the line from the graph.
a.
3
b.
c.
d.
e.
6
2. Sketch the line passing through the point (3, 4) with the slope .
a.
d.
b.
e.
c.
3. Find the slope of the line passing through the pair of points.
a.
b.
c.
d.
0
e.
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?
a.
b.
c.
d.
e.
6. 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.
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 .
a.
b.
c.
d.
e.
9. Find the y-intercept of the line .
a.
b.
c.
d.
e.
10. Find an equation of the line that passes through the point and has the slope m that is undefined.
a.
b.
c.
d.
e.
11. Find an equation of the line that passes through the point and has the slope .
a.
–
b.
+
c.
+ 162
d.
e.
12. Find an equation of the line that passes through the points and .
a.
b.
c.
d.
e.
13. Find an equation of the line that passes through the points and .
a.
b.
c.
d.
e.
14. 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.
15. Sketch a graph of the equation .
a.
d.
b.
e.
c.
16. Write an equation of the line that passes through the given point and is perpendicular to the given line.
a.
b.
c.
d.
e.
17. Write an equation of the line that passes through the given point and is parallel to the given line.
a.
b.
c.
d.
e.
18. Write an equation of the line that passes through the point and is perpendicular to the
line .
a.
b.
c.
d.
e.
19. Write an equation of the line that passes through the point and is parallel to the line
.
a.
b.
c.
d.
e.
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 .
a.
b.
c.
d.
e.
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
.
a.
b.
c.
d.
e.
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.
a.
b.
c.
d.
e.
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.
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