Question

let x represent the number of years since 2000 with x = 0 representing the year 2000. let y represent the average annual salary of the workers. complete the slope - intercept form of the equation for the line of best fit below with the appropriate value for the slope. round to the nearest whole number. y = x + 15044

Explanation:

Step1: Identify points

Take two points \((x_1,y_1)=(0,16570)\) (since \(x = 0\) for 2000 and \(y=16570\)) and \((x_2,y_2)=(21,60076)\) (since \(2021 - 2000=21\)).

Step2: Use slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 0,y_1=16570,x_2 = 21,y_2=60076\) into the formula:
\(m=\frac{60076-16570}{21-0}=\frac{43506}{21}\)

Step3: Calculate slope

\(\frac{43506}{21}=2071.714\cdots\)
Round to the nearest whole number: \(m = 2072\)

Answer:

\(y = 2072x+15044\)