Linear Equations and Inequalities

Linear Equations and Inequalities

1) The following graph shows the depreciation for the corporate airplane from
2006 to 2009. The plane was purchased new in 2006; therefore, x = 0 represents the year 2006.

X – axis (horizontal) = years starting from 0 = 2006 and increasing by 0.5 years
Y – axis (vertical) = price in $ amounts from 24,000 to 240,000

a) List the coordinates of two points on the graph in (x, y) form. The numbers on the horizontal axis are 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, and 3.5.

( , ),( , )

b) Find the slope (rate of depreciation) of this line:

Answer:

Show your work here:

c) Find the linear equation of this line in slope-intercept form.

Answer:

Show or explain your work here:

d) If the rate of depreciation continues at the present rate, what will be the plane’s value in the year 2019? Show how to use the linear equation from part c) to obtain your answer.

Answer:

Show or explain your work here:

 
2) Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 80 inches. The formula for the perimeter of a rectangle is P=2L+2W.

a) Set up an equation for the perimeter involving only L, the length of the rectangle.

Answer:

b) Solve this linear equation algebraically to find the length of the rectangle. Find the width as well.

Answer: Length , Width

Show your work here:

 
3) A marketing group developing online ad space is offering two payment options: Option 1: $225 set up fee plus $10/inch of the ad
Option 2: No set up fee but $25/inch of the ad

Let x = inches of the proposed ad, for example, x = 2 for a column ad that is 2 inches long.

a) Write a mathematical model representing the total ad cost, C, in terms of
x for the following:

Option 1: C=

Option 2: C=

b) How many inches of ad space would need to be purchased for option 1 to be less than option 2? Set up an inequality and show your work algebraically using the information in part a).

Answer:

Show your work here:

 

 

 

4) Graph the equation on separate graphs by completing the tables and plotting the points. You may use Excel or another web-based graphing utility.

a) Complete the table using the given values of x and the equation y = -3x + 7.

 

x y
-1
0
2
4
b) Graph the equation here by plotting the points from your table.

math problem

math problem
Find the optimal crude oil allocation in the preceding example if the profit associated with fiber were cut in half, that is, fell to $.375 per square foot.

Samuelson, William F. (2012-05-01). Managerial Economics, 7th Edition (Page 214). Wiley. Kindle Edition.

MpG = ($0.50)(72-3MG) = 36 – 1.5MG
MpF = ($0.375)(80-4MF) = 30 – 1.5MF

Math Problem

Math Problem

Psychological Stats

Post a behavioral research situation that could use a Pearson coefficient research study and a chi square research study. Present the rationale for each selection. Be very specific in your presentation.

math concepts in the IT Networkiing Environnment

math concepts in the IT Networkiing Environnment

Describe how the concept can apply to my chosen profession. You will not need to “do the math”; simply describe how you would use it and provide examples of situations in which you would use the concept you have chosen.

math concepts for the IT Networking field

math concepts for the IT Networking field

Describe how the concept can apply to my chosen profession. You will not need to “do the math”; simply describe how you would use it and provide examples of situations in which you would use the concept you have chosen. Provide any resources you have used to give credit to others’ ideas and information.

MATHS

MATHS copy the results into the End of Course subsection of the Reflections on Mathematics section of your Assignment and write between 1 to 6 paragraphs reflecting on your performance Task 2 Interpretation of a Graph Section 3, Determinants: keys to prevention Complete the following: • Choose a graph. Read the context around the graph to gain an understanding about why the graph was included and what it means. • Copy and paste graph from the article to the Interpretation of a Graph section of your Assignment 3 Word document. • Create an automatically created bulleted list below the graph, similar to the following: • Title: • Labels: • Units: • Scale: • Identify the title, labels, units and scale for your graph, and add this information next to the appropriate bullet point. Exercise 6.2 Graph Features provides an example that demonstrates this. • Pick two key points (physical places in the graph) and write at least two sentences interpreting these points. Add this below the bulleted list. Exercise 6.2 Graph Features and Exercise 6.5 Trend Graph Interpretation provide examples of how to do this. • Answer the following questions in an automatically created numbered list: 1. How was this graph linked to the body of the article? Quote a specific part of the article to demonstrate this 2. Was the information clear and easy to interpret? Explain your answer with reference to the graph. Example 6.2 Incidence of Cancer may help you with this task

MATHS

MATHS

copy the results into the End of Course subsection of the Reflections on Mathematics section of your Assignment and write between 1 to 6 paragraphs reflecting on your performance

Task 2 Interpretation of a Graph
Section 3, Determinants: keys to prevention
Complete the following:
• Choose a graph. Read the context around the graph to gain an understanding about why the graph was included and what it means.
• Copy and paste graph from the article to the Interpretation of a Graph section of your Assignment 3 Word document.
• Create an automatically created bulleted list below the graph, similar to the following:
• Title:
• Labels:
• Units:
• Scale:
• Identify the title, labels, units and scale for your graph, and add this information next to the appropriate bullet point. Exercise 6.2 Graph Features provides an example that demonstrates this.
• Pick two key points (physical places in the graph) and write at least two sentences interpreting these points. Add this below the bulleted list. Exercise 6.2 Graph Features and Exercise 6.5 Trend Graph Interpretation provide examples of how to do this.
• Answer the following questions in an automatically created numbered list:
1. How was this graph linked to the body of the article? Quote a specific part of the article to demonstrate this
2. Was the information clear and easy to interpret? Explain your answer with reference to the graph.
Example 6.2 Incidence of Cancer may help you with this task

Mathematics,

Mathematics,

1- A fellow 085 student comes to you and asks you why 6x^4 * 5x^3 does NOT equal 30x^12. She say, “If you multiply the coefficients, then you should multiply the exponents too, right?” Write a paragraph explaining to her why her reasoning does not work. You cannot say “The Product Rule says that you add the exponents”. Assume the student doesn’t understand or even believe in the rule
2- Your best friend says her aced 085 years ago and he thins that (6x^4)^3 = 18x^7. Write a paragraph pointing out his mistake and explain how he should think about the problem. Again, do not refer to the “rule in the book”
3- Write a paragraph on why we simplify p^4+3p^4 but we can’t simplify p^4+4p^3. Use the distributive property in your explanation of both proble