Mathematics Project Term 1 Maryam Eidha Lamya Abdulhakeem

Mathematics Project. . (Term 1) Maryam Eidha & Lamya Abdulhakeem … 10. 6

Introduction Linear equations and functions can be used to model relationships between many real-world quantities. One of the most common uses of a linear model is to analyze and make predictions.

Task 1 Your cell phone plan has just expired with Company X and you want to switch companies. Below is the information you gathered regarding the plans you are considering: SPRINT has an initial monthly charge of $25. 75 for providing their services and charges 30 cents for every minute. VERIZON charges $55. 50 per month and 10 cents for every minute. CINGULAR does not have an initial monthly charge. It charges 75 cents for every minute. Note: No more free minutes included in plans!

<< Following task 1 decided to look deeply into these plans before making a decision. are going to create the following: I. Equations that represent each of your options. II. A graphical representation of the information you have gathered

<<Following SPRINT ~ 25. 75+0. 30(m) Minutes (m) Cost ($) 100 55. 75 150 70. 75 200 85. 75 250 100. 75 300 115. 75

Graph. . using grapher in Ma. C

<<Following VERIZON ~ 55. 50 +0. 10(m) Minutes (m) Cost ($) 100 65. 5 150 70. 5 200 75. 5 250 80. 5 300 85. 5

Graph. . using grapher in Ma. C

<<Following CINGULAR ~ 0. 75(m) Minutes (m) Cost ($) 100 75 150 112. 5 200 150 250 187. 5 300 225

Graph. . using grapher in Ma. C

Graph for all of the equations. .

<<Following III. Looking at your graph, you should be able to answer the questions given below: During what interval does SPRINT offer the best deal? - 300 minutes = $115. 75 Because there is a big different between them 2 “ 184. 25” During what interval does CINGULAR offer the best deal? - 300 minutes = $225 Because the different between them is the biggest in the table “ 75”

<<Following During what interval does VERIZON offer the best deal? - 300 minutes = $85. 5 Because it has the best different “ 214. 5” Which company would you choose if you talked for an average of 100 minutes per month? - If I choose 100 m , I will choose the company that has the leastes cost in 100 minuts = $55. 75 “ SPRINT” What if you talked for an average of 200 minutes per month? - If I choose 200 m , I will choose the company that has the leastes cost in 200 mints = $75. 5 “ VERIZON”

<<Following When do SPRINT and VERIZON charge the same rate and what is that rate? - In the 150 minutes , $70. 75 is near to &70. 75 How do you choose which plan is best for you? - By seeing and observant that , the plan is increasing little by little not all one time , the costs are Reasonable and there is different between the 2 points “ the minutes and cost “ to feel by the different with the offer and the specialty. In Part III. 6 you found the same rate that SPRINT and VERIZON charge graphically. Find this rate algebraically. - 25. 75 + 0. 30 m = 55. 50 + 0. 10 m - 0. 30 m – 0. 10 m = 55. 50 – 25. 75 - 0. 2 m/0. 2 = 29. 75/0. 2 = 148. 75 ~_ 150. End of Task “ 1”

Task 2 You work for a small business that sells bicycles, tricycles, and tandem bikes. Bicycles have one seat, two pedals and two wheels. Tricycles have one seat, two pedals, and three wheels.

<<Following 1. On Monday you counted 48 tricycle wheels. a. How many tricycles were in the shop? - 48/3 = 16 , 16 tricycles. b. Write an algebraic equation that shows the relationship between the number of wheels (w) and the number of tricycles (t). - t = 1/3 w or w = t x 3

<<Following 2. On Wednesday you received new wheels. You need to install at least 50 wheels on that day. a. You have installed wheels on 5 tricycles so far. How many bicycles do you need to install wheels on to attain at least 50 wheels? - 5 x 3 = 15 50 – 15 = 35 35/2 =~ 17 b. Write an inequality that represents the situation on that day. 2 x + 15 > 50 - at least = >

<<Following c. Graph the inequality that you found in part b. First : x > 50 40 50 60 70 18 19 Then : x >17. 5 16 17 End of Task “ 2”

Task 3 Create a website and upload your project. Write the link to the website. Our website LINK : www. A picture of our website ( Screen Shoot ) :

What we learnt. . THE END We learnt many information's many skills in this project like ; the pairs work , how to divide the works and tasks between us 2 , manage the time practicing what we learnt it before with the teacher as the linear graphing , equations , inequalities and graph it. .