Question

A small company did an analysis of their pay scale versus years of experience and found that the line of best fit was y = 2035.6x + 36,000. What does the 2035.6 mean in context of the problem? A) That employees on average earn $2035.60 per year. B) That if they had 2035.6 years of experience they would earn $0. C) That they should have 2035.6 years of experience in order to earn the most money. D) That for every year of experience they have their salary would increase by $2035.60. Eliminate

Answer 1

Answer: D) That for every year of experience they have their salary would increase by $2035.60.

Step-by-step explanation:

The equation of a line is given by :-

$y=mx+c$, where m is the slope of the line and c is the y intercept value.

Now, the given equation of the line that best fits the given situation :

$2035.6x + 36,000$

When we compare it to the above standard linear equation , we get

$m=2035.6$

Since ,we know that the slope of a line tells the rate of change of y with respect to x.

Therefore,  In context of the problem ,2035.6 means that for every year of experience they have their salary would increase by $2035.60.

Answer 2

The correct answer is D) for every year of experience they have their salary would increase by $2035.60.

Explanation:
The equation y = 2035.6x + 36000 is written in slope-intercept form.  Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. 

In our equation, m=2035.6 and b=36000.  The slope is 2035.6.

The slope of a line is the rate of change of the line.  It tells how much the function increases or decreases for every increase in the x-value.  In our problem, x is the number of years of experience and y, the function, describes the total salary.

Since our slope is 2035.6, this means that the function, the salary, increases $2035.6 for every increase in x, the years of experience.