W1 Journal

For each problem on the application assignment, write a paragraph discussing your problem-solving process. Talk about your thought process, not the actual steps you took. Talk about your errors, where you struggled, what resources you used, how you knew you were on the right track, etc.

Make sure you answer each question.

Problem 1: Revenue Per Share

· How did you know what values were x and what values were y for your ordered pairs? Explain.

· What resources did you use to solve this problem? Be very specific.

· Did you make any errors that you had to correct? If so, how did you know you made errors, and what did you do to correct them?

· Other things to reflect on: where you struggled, how you knew you were on the right track.

Problem 2: Resistance

· What was your thought process for your estimate in part b? Explain in detail how you came up with your estimate.

· What resources did you use to solve this problem? Be very specific.

· Did you make any errors that you had to correct? If so, how did you know you made errors, and what did you do to correct them?

· Other things to reflect on: where you struggled, how you knew you were on the right track.

Problem 3: Depreciation

· What resources did you use to solve this problem? Be very specific.

· Did you make any errors that you had to correct? If so, how did you know you made errors, and what did you do to correct them?

· Other things to reflect on: where you struggled, how you knew you were on the right track.

Problem 4: Game Manufacturing

· What was your thought process behind coming up with your equations for part a and part b? Explain in detail.

· What resources did you use to solve this problem? Be very specific.

· Did you make any errors that you had to correct? If so, how did you know you made errors, and what did you do to correct them?

· Other things to reflect on: where you struggled, how you knew you were on the right track.

Problem 5: Analyzing a Function

· What resources did you use to solve this problem? Be very specific.

· Did you make any errors that you had to correct? If so, how did you know you made errors, and what did you do to correct them?

· Other things to reflect on: where you struggled, how you knew you were on the right track.

· Other things to reflect on: where you struggled, how you knew you were on the right track.

Name: ______________________

Date: _______________

W1 Application Assignment

1. The revenue per share for Acme, Inc. was $1.17 in 2013 and $3.25 in 2015. Estimate the revenue per share in 2014. Use the Midpoint Formula and assume that the function relating revenue to shares is linear.

P1=(2013,1.17)

P2=(2015, 3.25)

M=(2013 2015/2, 1.17 3.25/2)

M=(2014,2.21)

revenue per share in 2014 would be $2.21

2. The resistance y (in ohms) of 1000 feet of copper wire at 68 degrees Fahrenheit is given by the function , where x is the diameter of the wire in thousandths of an inch.

a. Fill in the table:

x

10

20

30

40

50

60

70

80

90

100

y

103.7

25.925

11.52

6.48

4.148

2.88

2.11

1.62

1.28

1.037

b. Use the table above to estimate the resistance when x = 45.5 and for x = 75.5. Using the table above when x = 45.5 the estimated resistance would be about 5. When x = 75.5 the estimated resistance would be about 1.9 = (x-)

x = 45.4

=4.1480 0.23333 x 5.5

=5.431315 = 5.4313

x=75.5 ,

y=1.6203 2.1163 (75.5-70)

=1.6203 0.0496×5.5

=1.6203 0.2728 = 1.8931

c. Compare your answers in part b with the values calculated by using the function. y=

x=45.4 , y = = 5.0091

x= 75.5 , y = = 1.8192

d. What can you conclude about the relationship between the diameter of the copper wire and the resistance? The bigger the diameters the less resistance the copper will have

3. A school purchases a printer for $24,000. It has a 10 year life expectancy. Its value at that time is expected to be $2000. Write a linear equation giving the value V of the equipment during the 10 years it will be in use.

Line equation in the form of y=mx c

m=

m = -2200

c= 2400 initial value

v- -2200 x 2400

4. A manufacturer of games notes that the variable cost for producing a game is $0.90 per unit and the fixed costs are $6000. Each game sells for $1.65. If x is the number of games produced. Determine the following:

a. Express the total cost C as a function of the number of games produced. The total cost C as a function x

C= 0.90 x 6000

b. Write the average cost per unit as a function of x C= C= 0.90

5. Use the graph of the function to answer parts (a)–(d).

a. Find the domain and range of f. domain : [-4,5)

range : [0,9)

b. Find the zero(s) of f. zero : 3

c. Determine the open intervals on which f is increasing, decreasing, or constant. increasing : (-4,0) U (3,5) decreasing : (0, 3)

d. Approximate any relative minimum or relative maximum values of f.

maximum : (0,9)

minimum : (3,0)

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