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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1, Problem 132RE

a.

To determine

**To calculate:**For the given information develop equation which relates Margarita’s annual salary

Expert Solution

The required equation is

**Given information:**

Margarita’s per annum salary is

**Formula used:**

For 2 variables say, **linearly **then it can be written as:

Which can be written as:

Where

Similarly the statement **linearly **then it can be interpreted as:

Which can be written as:

Where

Slope-intercept equation for a given line which has slope as

Slope m of the line passing through two points in general say

Point-slope equation for a given line passing along point

**Calculation:**

Margarita’s per annum salary is

Now, as the annual salary and the number of years a person works in the job are directly proportional.

Recall, For 2 variables say, **linearly **then it can be written as:

Which can be written as:

Where

Hence, to show the linear relationship of salary per year and years worked can be given as:

When

(Because the amount of salary which would be given to the employee is decided before he/she joins the firm that is at

Which gives:

Next, it is given that Margarita’s per annum salary is

That is when

Which gives:

Therefore, put the values

Thus, the required equation is

**b.**

To determine

**To calculate:**For the salary equation found in a. the objective is to find out what does the slope and

Expert Solution

In the equation

**Given information:**

Margarita’s per annum salary is

**Formula used:**

For 2 variables say, **linearly **then it can be written as:

Which can be written as:

Where

Similarly the statement **linearly **then it can be interpreted as:

Which can be written as:

Where

Slope-intercept equation for a given line which has slope as

Slope m of the line passing through two points in general say

Point-slope equation for a given line passing along point

**Calculation:**

Margarita’s per annum salary is

Form a. the salary equation is

Now recall, Slope-intercept equation for a given line which has slope as

Therefore, comparing this with

Slope

And

The slope

And, the

**c.**

To determine

**To calculate:**For the salary equation found in a. the objective is to find out what will Margarita’s salary be after

Expert Solution

Margarita’s salary after working for

**Given information:**

Margarita’s per annum salary is

**Formula used:**

For 2 variables say, **linearly **then it can be written as:

Which can be written as:

Where

Similarly the statement **linearly **then it can be interpreted as:

Which can be written as:

Where

Slope-intercept equation for a given line which has slope as

Slope m of the line passing through two points in general say

Point-slope equation for a given line passing along point

**Calculation:**

Margarita’s per annum salary is

Form a. the salary equation is

Now recall, Slope-intercept equation for a given line which has slope as

Therefore, comparing this with

Slope

And

Let

Therefore,

Put

Hence, Margarita’s salary after working for