Question

the equation for the line of best fit is $y = 1,300x + 38,000$. according to the equation, which of these statements is true? a product designers starting salary is about $39,300. a product designers salary is likely to increase by about $1,300 each year.

Explanation:

Step1: Analyze the linear equation \(y = 1300x+38000\)

In the slope - intercept form of a linear equation \(y = mx + b\) (where \(m\) is the slope and \(b\) is the \(y\) - intercept). Here, \(x\) represents the number of years of employment, \(y\) represents the salary.

Step2: Interpret the slope and \(y\) - intercept

The \(y\) - intercept \(b = 38000\) represents the salary when \(x = 0\) (starting salary). The slope \(m=1300\). In the context of the problem, since \(y\) is salary and \(x\) is years of employment, the slope \(m\) represents the rate of change of salary with respect to years of employment.

Answer:

A product designer’s salary is likely to increase by about \(\$1,300\) each year.