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Chapter 12 Performance Assessment 23

Name

Ashley has started her own bakery. She sells bagelsby the dozen.

1. Draw a picture to shown the main idea for the problem.

Then write an equation and solve it. Explain what property ofequality you used to solve. If Ashley would like to earn $45 on15 dozen bagels, how much should she charge per bagel?

2. Find how much Ashley should charge per dozen bagelsto earn each amount for the number of bagels listed.Complete the table.

3. Ashleys daily expenses are $60. The equation y x 60

tells her daily profit (y) if she earns x dollars. Complete thetable at the right to find Ashleys profit for each amount ofincome. Explain what each y-value means.

4. Use the table above to graph the equationy x 60. Find a point on the line other thanthe ones in the table above. Tell what thenumbers in the ordered pair mean in termsof Ashleys earnings and profit or loss.

Chapter 12 Performance Assessment

EarningsDozens of

EquationPrice per

Bagels Dozen

$90 18

$100 25

$120 20

x y

100

6040

60

40

20

20 40 60 80 100 12020

40

60

y

x

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24 Chapter 12 Performance Assessment

Chapter 12 Performance Assessment

Teacher Notes Scoring RubricConcepts and Skills This activity requires

students to:

write and solve equations.

choose and describe a property of equality.

make a table of x and y values and graphan equation.

write word descriptions for integers.

Guiding the Activity

Students can choose an item to sell andanswer the same questions using their ownproduct, prices, and expenses.

Discuss the question What are someexpenses of running a small business?Make sure students understand that profit

equals earnings minus expenses.

Answers

1.

15n 45; n 3; I divided both sides ofthe equation by 15 to get n alone; Ashleyshould charge $3 for a dozen bagels.

2.

3. When y 40, Ashley willhave $40 profit. When y 0,Ashley will break even with noprofit or loss. When y 20,Ashley will have a $20 loss forthe day.

$45

n n n n n n n n n n n n n n n

Level Standard to be achieved for

performance at specified level

4 Full Achievement The student wrote,

solved, and graphed equations

without error. The student showed a

thorough understanding of integers

and properties of equality. Explanations

were well written.

3 Substantial Achievement The

student wrote, solved, and graphed

equations with only minor errors.

The student showed considerable

understanding of integers and

properties of equality. Explanations

were basically well written.

2 Partial Achievement The student

made a number of errors writing,

solving, and graphing equations. The

student showed some understanding

of integers and properties of equality.

Explanations were fairly complete,

but not well written.

1 Little Achievement The student gave

answers that were incomplete or had

many errors. The student showedlittle or no understanding of integers

or properties of equality. Explanations

were missing or unclear.

0 No Achievement The student

provided a completely incorrect

response, one that was not

interpretable, or no response at all.

EarningsDozens of

EquationPrice per

Bagels Dozen

$90 18 18n 90 $5

$100 25 25n 100 $4

$120 20 20n 120 $6

x y

100 40

60 0

40 20

4. Sample answer: The point (80, 20)

is on the line; When Ashley earns $80,she has a $20 profit.

60

40

20

20 40 6080100 12020

40

60

y

x

(100, 40)

(60, 0)

(40, 20)