# Applications of Graphing

Section 6.1, pp. 510-511 24, 46, 48

Complete the ordered pairs so that each is a solution for the given equation.

24. ( 0,),

46. Science and medicine. Celsius temperature readings can be converted to

Fahrenheit readings using the formula . . What is the Fahrenheit

temperature that corresponds to each of the following Celsius temperatures: -10,

0, 15, 100?

-10 = 14

0 = 32

15 = 59

100 = 212

48. Business and finance. When x number of units are sold, the price of each unit (in

dollars) is given by . Find the unit price when the following quantities

are sold: 2, 7, 9, 11.

Section 6.2, pp. 519-520 2, 4, 23

Give the coordinates of the points graphed below.

2. B

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

4. D Give the coordinates of the points graphed below.

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

23. Plot points with coordinates (2, 3), (3, 4), and (4, 5) on the given graph. What do you

observe? Can you give the coordinates of another point with the same property?

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

Section 6.3, pp. 541-545 20, 28, 34, 50

Graph each of the following equations

20.

Graph each of the following equations, using the intercept method.

28.

y

8 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9

7

6

5 POS

4

3

2

1

x

x

1

2

NEG 3

4

5 y

6

7

8

Y

X= (3,0)

Y= (0,2)

34.

+y

9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

X= (6,0)

Y= (0,-4)

50. Business and finance. The cost of producing a number of items x is given by

C =mx + b, in which b is the fixed cost and m is the variable cost (the cost of

producing one more item).

(a) If the fixed cost is $40 and the variable cost is $10, write the cost equation.

(b) Graph the cost equation.

C

80

60

40

20

1 2 3 4 5

(0,40)

(4,80)

Section 6.4 pp.558-563 14, 20, 24, 26, 52, 64

Find the slope of the line through the following pairs of points

14.

(_5, _3) and (_5, 2)

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

In Exercises 19 to 24, two points are shown. Find the slope of the line through the given points.

20.

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

24.

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

In Exercises 25 to 30, find the slope of the lines graphed.

26.

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

52. m varies directly with n; m = 144 when n= 8.

64. Business and finance. The revenue for a sandwich shop is directly proportional

to its advertising budget. When the owner spent $2000 a month on advertising, the

revenue was $120,000. If the revenue is now $180,000, how much is the owner

spending on advertising?

Revenue=R

ADVERTISING=A

R=mA

A=2000, R=120000

R=120000,2000m, m=120000/2000=60

R=180000=60A

A=180000/60=3000

ADVERTISING COST=$3000.

Section 6.5, pp. 577-579 4, 8, 12, 18

4. What was the percentage increase in motor vehicle production in countries outside

the United States from 1950 to 1997?

10577-8006=2571

53463-12119=41344

8. Between 1950 and 1997, did the production of motor vehicles increase by a greater

percentage in Canada or Europe?

Europe has greater increase

12. If the company shipped a total of 550 items last month, how many were shipped

using second-day air freight?

40% second day air freight

45% truck

15% next day air freight

In exercises 13 to 18, use the given bar graph representing the number of bankruptcy filings

during a recent 5-year period.

18. In which year did the greatest percent increase in filings occur?

#### Solution Summary

An applications of graphing worksheet. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.