# Phone Plans in 2014

## Get your phone an amazing plan!!!!

Throughout the year, many different phones are released, and with a phone you must have a phone plan. Eno and Lleb, are two company's that offer some of the best phone plans in Canada. Here are the best phone plans that each company has to offer.

## Here they are!!!

From Lebb you must pay an upfront fee of \$60 which is a one time fee, and \$5 per month.

From Eno you must pay an upfront free of \$50 also one time, and you will have to pay \$8 per month.

To simplify this for you we have done some math so here it is.
Lebbs Plan

Equation

First you must understand the variables.

y= total cost of plan

m= cost per month

x= the number of months

b= the starting price of the plan

Formula

Slope and y intercept form:

y=mx+b

y=5x+60

Standard form:

Ax + Bx + C = 0

-5x + y - 60 = 0

If you look below you will be able to see how your bill will add up progressively throughout the year.

Now that you have seen Lebb Lets take a look at the plan that Eno has to offer.

Enos Plan

Variables

First you must understand the variables.

y= total cost of plan

m= cost per month

x= the number of months

b= the starting price of the plan

Equation

Slope and y intercept form:

y=mx+b

y=8x+50

Standard form:

Ax + Bx + C = 0

-8x + y - 50 = 0

If you look below you will be able to see how your bill will add up progressively throughout the year.

Now that you have seen the options its time to put them together in a chart so you can see which one will suit your needs.

## So basically.....

Both of these plans are excellent choices, but depending on how long you will have one of these plans you can choose the better deal.

If you are going to use this plan for 3 months or less, Eno would be a cheaper service provider for you.

If you are going to use this plan for over 5 months, Lebb would be a cheaper choice for you.

If you are going to use this plan for 4 months either plan will work as they are the exact same price.

## Questions

In what month will the price of these two plans be exactly the same?

To find what month the price of these two plans will be exactly the same, we must solve the linear equation/system, the result will be the point of intersection which is the answer to this questions.

The point of intersection can be found in two ways.

• Graphing

Using the equations for each line, we can find the point of intersection by using the y intercept and rise over run for slope.

Lleb's plan

y=5x+60

- (0,60) is the y intercept, now plot it on the graph

- Then use rise over run to graph the slope which is 5

- Graph the line

Eno's plan

y=8x+50

- Repeat same steps

Then, using the 2 graphed lines, find the point of intersection. On the graph, the point of intersection is on the 4th month of usage.

Therefore the point of intersection is (4, 80) as shown in the diagram below.

## Why use a linear system?

A linear system tracks changes in rates at which something increases or decreases at. In this case linear systems are used to see which plan is better to suit a situation. This can help consumers decide on getting a better plan depending on their situation.