
Concept explainers
a.
To calculate:For the given information develop equation which relates Margarita’s annual salary
a.

Answer to Problem 132RE
The required equation is
Explanation of Solution
Given information:
Margarita’s per annum salary is
Formula used:
For 2 variables say,
Which can be written as:
Where
Similarly the statement
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,
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 calculate:For the salary equation found in a. the objective is to find out what does the slope and
b.

Answer to Problem 132RE
In the equation
Explanation of Solution
Given information:
Margarita’s per annum salary is
Formula used:
For 2 variables say,
Which can be written as:
Where
Similarly the statement
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 calculate:For the salary equation found in a. the objective is to find out what will Margarita’s salary be after
c.

Answer to Problem 132RE
Margarita’s salary after working for
Explanation of Solution
Given information:
Margarita’s per annum salary is
Formula used:
For 2 variables say,
Which can be written as:
Where
Similarly the statement
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
Chapter 1 Solutions
EBK PRECALCULUS: MATHEMATICS FOR CALCUL
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