Basic Mathematics for College Students

(Nandana) #1

  1. HOURLY PAY The graph below shows the
    average hours worked and the average weekly
    earnings of U.S. production workers in
    manufacturing for the years 1998 and 2008.
    What did the average production worker in
    manufacturing earn per hour
    a. in 1998? b. in 2008?


Source:U.S. Department of Labor Statistic


  1. TRAVEL The illustration shows the annual number
    of person-trips of 50 miles or more (one way) for the
    years 2002–2007, as estimated by the Travel Industry
    Association of America. Find the average number of
    trips per year for this period of time.


Source:U.S. Travel Association


  1. OIL WELLS Geologists have mapped out the types
    of soil through which engineers must drill to reach
    an oil deposit. See the illustration below.


Surface

0.68 mi

0.36 mi
0.44 mi
Oil

Silt

Rock
Sand

U.S. Domestic Leisure Travel (in millions
of person-trips of 50 mi or more, one way)

2002 2003 2004
Year

2005 2006 2007

1,200

1,300

1,400

1,500

1,600

1,407.1

1,388.2

1,440.4
1,482.51,491.8

1,510.4

1998 2008
Year

$556.83
41.4 hr
41.2 hr

$710.70

500

600

700

800

400
300

200

100
039

40

41

Average weekly earnings ($)

Average

hours worked per week

U.S. Production Workers in Manufacturing

42

a. How far below the surface is the oil deposit?

4.4 Dividing Decimals 371

b. What is the average depth that must be drilled
each week if the drilling is to be a four-week
project?


  1. REFLEXES An online reaction time test is
    shown below. When the stop light changes from
    red to green, the participant is to immediately
    click on the large green button. The program then
    displays the participant’s reaction time in the table.
    After the participant takes the test five times, the
    averagereaction time is found. Determine the
    average reaction time for the results shown
    below.

  2. INDY 500 Driver Scott Dixon, of New Zealand, had
    the fastest average qualifying speed for the 2008
    Indianapolis 500-mile race. This earned him the pole
    positionto begin the race. The speeds for each of his
    four qualifying laps are shown below. What was his
    average qualifying speed?


WRITING



  1. Explain the process used to divide two numbers
    when both the divisor and the dividend are decimals.
    Give an example.

  2. Explain why we must sometimes use rounding when
    we write the answer to a division problem.

  3. The division is equivalent to.
    Explain what equivalent means in this case.

  4. In , why can additional zeros be placed to the
    right of 0.7 without affecting the result?

  5. Explain how to estimate the following quotient:
    0.752.415


3 0.7


0.52.005 5 20.05


1
:2
:3

Reaction Time
(in seconds)

The stoplight
to watch.

The button
to click.

Test
Number
1
2
3
4
5
AVG.

Click
here
on
green
light

Lap 1: 226.598 mph
Lap 2: 226.505 mph
Lap 3: 226.303 mph
Lap 4: 226.058 mph
(Source: indianapolismotorspeedway.com)

0.219
0.233
0.204
0.297
0.202
?
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