Eidha amp Lamya Abdulhakeem 106 Mathematics Project Term 1 Introduction Linear equations and functions can be used to model relationships between many realworld quantities One of the most common uses of a linear model is to analyze and make predictions ID: 149396
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Slide1
Maryam Eidha & Lamya Abdulhakeem … 10.6
Mathematics Project ..(Term 1)Slide2
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. Slide3
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 $55.50 per month and 10 cents for every minute. CINGULAR does not have an initial monthly charge. It charges 75 cents for every minute. Note: No more free minutes included in plans! Slide4
<< Following
task 1decided to look deeply into these plans before making a decision. are going to create the following:
I. Equations that represent each of your options.II. A graphical representation of the information you have gathered Slide5
<<Following
Minutes (m)
Cost ($)10055.7515070.7520085.75250
100.75
300
115.75
SPRINT ~
25.75+0.30(m)Slide6
Graph ..
using grapher in MaCSlide7
VERIZON
~55.50 +0.10(m)
<<FollowingMinutes (m)Cost ($)10065.5
150
70.5
200
75.5
250
80.5
300
85.5Slide8
Graph ..
using grapher in MaCSlide9
<<Following
CINGULAR ~
0.75(m)Minutes (m)Cost ($)10075
150
112.5
200
150
250
187.5
300
225Slide10
Graph ..
using grapher in MaCSlide11
Graph for all of the equations ..Slide12
<<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”Slide13
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 100m , 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
200m
, I will choose the company that has the
leastes
cost in 200 mints
=
$75.5
“
VERIZON”
<<FollowingSlide14
<<Following
When do SPRINT and VERIZON charge the same rate and what is that rate?-
In the 150 minutes , $70.75 is near to &70.75How 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
+ 0.30m =
55.50 +
0.10m
0.30m – 0.10m = 55.50 – 25.75
0.2m/0.2 = 29.75/0.2 =
148.75 ~_ 150 .
End of Task “1”Slide15
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. Slide16
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 = 1/3w or w = t x 3
<<FollowingSlide17
<<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. - 2x + 15 >
50
a
t least =
>Slide18
c
. Graph the inequality that you found in part b. First : x >
50Then : x >17.5 <<Following
50
70
60
40
18
19
16
17
End of Task “2”Slide19
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 ) :Slide20
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 ..