example 5 Advertising and Sales

Chapter 6.5

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

b. Graphically.

2009 PBLPathways

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

b. Graphically.

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

(15 + x)(15 + x)

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

?

?

300 7.5100

15 7.5

2250100

22.5

100 100

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

?

?

300 7.5100

15 7.5

2250100

22.5

100 100

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

a. Algebraically.

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

?

?

300 7.5100

15 7.5

2250100

22.5

100 100

2009 PBLPathways

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

b. Graphically.

100 15 300

1500 100

1

300

1500 200

7.5

50

300

0

1

x

x

x x

x x

x

x

x

y

2 100y

1

300

15

xy

x

2009 PBLPathways

100 15 300

1500 100

1

300

1500 200

7.5

50

300

0

1

x

x

x x

x x

x

x

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

b. Graphically.

x

y

(7.5, 100)

2 100y

1

300

15

xy

x

2009 PBLPathways

300100

15

100 15 300

1500 100 300

1500 200

7.5

x

x

x x

x x

x

x

Monthly sales y (in thousands of dollars) for Yang products are related to monthlyadvertising expenses x (in thousands of dollars) according to the function

Determine the amount of money that must be spent on advertising to generate $100,000in sales

300

15

xy

x

b. Graphically.

x

y

(7.5, 100)

2 100y

1

300

15

xy

x