# Job Salaries

### Sheshank Suresh

## Overview

## Variables

The dependant variable is the salary ($) earned.

## The Better Choice

## Microrough

We can find the slope by subtracting two consecutive numbers from the graph above.

So we can pick 1780 and 500.

1780 - 500

= 1280

therefore, m = 1280

The y-intercept would be the value where the x co-ordinate is 0, and looking at the table of values, it seems that it is 500.

Therefore the equation in slope/y-intercept form would be y = 1280x + 500.

For standard form we would need to have all of the equation from the slope/y-intercept form on one side.

y = 1280x + 500

0 = 1280x - y + 500

1280x - y + 500 = 0

Therefore the equation in standard form is 1280x - y + 500 = 0

There is a linear systems graph all the way down in Point of Intersection. It has both Microrough's and Orange Inc. lines on it.

## Orange Inc.

We can find the slope by subtracting two consecutive numbers from the graph above.

So we can pick 3200 and 1600.

3200 - 1600

= 1600

therefore, m = 1600

The y-intercept would be the value where the x co-ordinate is 0, and looking at the table of values, it seems that it is 0 (origin)

Therefore the equation in slope/y-intercept form would be y = 1600x + 0 or just y = 1600x.

For standard form we would need to have all of the equation from the slope/y-intercept form on one side.

y = 1600x + 0

0 = 1600x - y + 0

1600x - y + 0 = 0 or 1600x - y = 0

Therefore the equation in standard form is 1600x - y + 0 = 0 or 1600x - y = 0.

As mentioned above, graph will be on Point of Intersection which is down below.

## Point of Intersection (POI)

1. Equations:

the two equations are y = 1280x + 500 and y = 1600x. Since y is common in both equations, the equation can also be written as 1280x + 500 = 1600x. Now we would have to solve for x.

1280x + 500 = 1600x

500 = 1600x - 1280x

500 = 320x

500/320 = x

x = 500/320

Next we need to figure out the y co-ordinate. To this we will have to substitute the x value in any one of the equations. John used y = 1600x.

y = 1600x

y = 1600(500/320)

y = 2500

Now that we have our x and y co-ordinates, the point of intersection would be (500/320, 2500) or in decimal format, (1.5625, 2500).

2. Graph

For the graph method, it is hard to see on this graph but it would also say (500/320, 2500)

***Note: Blue line is Orange Inc. and Purple is Microrough.