MATH SOLVE

2 months ago

Q:
# { Look at the first image. } The line of best fit is y = 125.66x - 846.3Choose the best representation for the slope. A. For each additional year of education weekly salary rises approximately $125.66B. For each additional year of education weekly salary decreases approximately $846.3C. For each additional year of education weekly salary decreases approximately $125.66D. For each additional year of education weekly salary rises approximately $846.3{ Look at the second image. }Choose the best representation for the y-intercept.A. With no collage education the annual salary is expected to be, $24, 600B. With no collage education the annual salary is expected to be, $30,000C. The annual salary is expected to be 100,000D. For each additional year of collage, the salary increases by about $10,00PLEASE ANSWER CORRECTLY

Accepted Solution

A:

Answer: Question 1. Correct choice A
Question 2 Correct choice A
Step-by-step explanation:To answer the first question, let's do the following operation, subtract the salary for n years of education with the salary for n-1 years of education:
[tex](125.66x_{2}-846.3) - (125.66x_{1}-846.3)\\[/tex] Where:
[tex]x_{2}[/tex] represents n years of education
[tex]x_{1}[/tex] represents n-1 years of education.
Then, solving:
[tex](125.66x_{2}-846.3) - (125.66x_{1}-846.3) = 125.66x_{2}-846.3-125.66x_{1} + 846[/tex].
[tex]= 125.66x_{2}-125.66x_{1}\\[/tex] [tex]= 125.66 (x_{2}-x_{1})[/tex] Since [tex]x_{2}[/tex] is always a unit greater than [tex]x_{1}[/tex], its subtraction is always equal to 1.
[tex]= 125.66(1)\\ = 125.66[/tex]
This result shows that the increase for an additional year of education is always equal to the value of the slope of the line, that is, $ 125.66. Therefore the correct option for this question is "A".
In cuano to the second question:
The intersection of the line with the y-axis occurs when the value of x is equal to zero, or in this case, when the years in the collage are 0.
This means that when there are no years of education in the collage, the salary is expected to be equal to the value of the intersection of the line with the axis y, that is, equal to 24,600 thousand dollars.
Then the correct option is A.