# MAT-105: APPLIED LIBERAL ARTS MATHEMATICS Application Assignment 4

August 30, 2017

Question
Application Assignment 4
The assignment draws mostly on even-numbered exercises from the textbook. Answer all
assigned exercises. Point values are listed after each question.
Please show work where appropriate for full credit.
Section 6.1

26.

Problems 26, 36, 42, 44

Evaluate the expression for the given value of the variable. (2 pts.)
3×2 +

36.

2
5

xy –

1
5

y2

x=2

y=5

Determine whether the values are a solution to the equation.

(2 pts.)

42. Cost of a Tour. The cost, in dollars, for Crescent City Tours to provide a tour for x people
can be determined by the expression
Tours to provide a tour for 75 people.

44.

Stopping Distance.

Determine the cost for Crescent City
(2 pts.)

A typical car’s stopping distance, in feet, on wet pavement can be

approximated by the expression

where s is the speed of the car, in

miles per hour (mph), before breaking and
miles per hour. Use the
expression to approximate the car’s stopping distance on wet pavement if the speed of the
car before breaking is 72 mph. (2 pts.)

Section 6.2
20.

42.

Problems 20, 42, 50, 66, 68

Combine like terms. (2 pts.)

Solve the equation. (2 pts.)

x?1
5

50.

66.

68.

=

x+5
15

Solve the equation. (2 pts.)

Watching Television. Nielson Media Research determines the number of people who
watch a television show. One rating point means that 1,102,000 households watched the
show. The top-ranked television show for Feb. 14, 2011 was American Idol, with a rating
of 21. About how many households watched American Idol that week? (2 pts.)

Topsoil

A 40-pound bag of topsoil will cover a surface area of 12 ft2.

a) How many pounds of topsoil are needed to cover a surface area of 480 ft2 ? (2 pts.)

b) How many bags of topsoil must be purchased to cover a surface area of 480 ft2 ?
(2 pts.)

Section 6.3

Problems 10, 36, 46, 62

10.

Use the formula to determine the value of the indicated variable for the values given.
Use a calculator when one is needed. Round your answer to the nearest hundredth. (2
pts.)

Body Mass Index.

, determine B when w = 130 lbs and h = 67 cm

36.

Solve the equation for y.

46.

Solve for the variable indicated.
V = lwh

62.

(2 pts.)

(2 pts.)

for w

Solve the equation for F.

(3 pts.)

5
C= (F?32)
9

Section 6.4

2.

Problems 2, 4, 24, 26, 30, 42

Write the mathematical expression as a phrase. (3 pts.)
x-2

4.

Write the mathematical expression as a phrase.

(3 pts.)

3x + 5

24.

Write an equation and solve. (3 pts.)

Eight less than 3 times a number is 6 times the number, increased by 10.

26.

Write an equation and solve. (3 pts.)
A number divided by 4 is 12 less than the number.

30.

Sales Commission. Tito Sanchez receives a weekly salary of \$400 at Anderson’s
Appliances. He also receives a 6% commission on the total dollar amount of all of the
sales he makes. What must his total sales be in a week if he is to make a total of \$790?
(3 pts.)

42.

Boat Purchase. The Nguyen’s purchased a boat. If the total cost, including a 6% sales
tax, was \$18,232, determine the cost of the boat before tax. (3 pts.)

Section 6.7

Problems 26, 28, 36, 44, 46, 62, 64, 70, 80, 86, 102

Using Fig. 6.22 on p. 345, write the coordinates of the following points.
#26 (2 pts.)
#28 (2 pts.)

36.

Determine which of the ordered pairs satisfy the given equation.

(3 pts.)

44.

Graph the equation and state the slope of the line. You can either draw the graph using
your word processor or hand draw it, scan it, and paste it into the assignment. (6 pts.)
x = -2

46.

Graph the equation and state the slope of the line. You can either draw the graph using
your word processor or hand draw it, scan it, and paste it into the assignment. (6 pts.)
y = -4

62.

Graph the equation using x- and y- intercepts as in Example 4. You can either draw the
graph using your word processor or hand draw it, scan it, and paste it into the
assignment. (6 pts.)
y = 4x + 4

64.

Graph the equation using x- and y- intercepts as in Example 4. You can either draw the
graph using your word processor or hand draw it, scan it, and paste it into the
assignment. (6 pts.)
3x + 6y = 9

70.

Determine the slope of the line through the given points.

(4 pts.)

80.

Graph the equation using the slope and y-intercept as in Examples 6 and 7.You can
either draw the graph using your word processor or hand draw it, scan it, and paste it
into the assignment. (6 pts.)
y = 2x – 5

86.

Graph the equation using the slope and y-intercept as in Examples 6 and 7.You can
either draw the graph using your word processor or hand draw it, scan it, and paste it
into the assignment. (6 pts.)
3x + 4y – 8 = 0

102. Cable Cost The Schwimmer’s cost for cable television is given by
is the number of months of service.

, where x

b) From the graph of C, estimate the Schwimmer’s cost for 30 months of service. (3 pts.)