Question: Week One - Applications Assignment Answer the following questions in a Word document and upload the document to the appropriate drop box. 1)The revenue per
Week One - Applications Assignment
Answer the following questions in a Word document and upload the document to the appropriate drop box.
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.
Midpoint formula ((x1+x2)/2, (y1+y2)/2)
(1.17+3.25)/2, (2013+2015)/2
(2.21,2014)
$2.21 in 2014
2) The resistance y (in ohms) of 1000 feet of copper wire at 68 degrees Fahrenheit is given by
the functiony = 10,370/ x2, 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
25.93
11.52
6.48
4.15
2.88
2.11
1.62
1.28
1.04
b) Use the table above to estimate the resistance when x = 45.5 and for x = 75.5.
x= 45.5 y= 10370/45.5^2=5.01
x= 75.5y= 10370/75.5^2=1.82
c) Compare your answers in part b with the values calculated by using the function.
Unsure about what this question was asking
d) What can you conclude about the relationship between the diameter of the copper wire and the resistance?
If the x diameter of the wire increases, the y resistance decreases.
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.
(24,0)
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 x = number of games produced.
b) Write the average cost per unit C = C as a function of x
5)Use the graph of the function to answer parts (a)-(d).
a) Find the domain and range of f.
b) Find the zero(s)of f.
c) Determine the open intervals on which f is increasing, decreasing, or constant.
d) Approximate any relative minimum or relative maximum valuesof f.
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