Question

1. a company that makes scarves has many different styles and colors that people can order. the company keeps track of the number of each style, each color combination they make, and the average sale price for the scarves having that combination. they create a scatter plot using the data with the number of scarves along the x - axis and the average price per scarf, in dollars, along the y - axis.

the data in the graph suggest a linear association. which of the functions best represents the equation of the line of best fit?
a. $y = -225x + 1124$
b. $y = -0.004x + 5$
c. $y = -x + 5$
d. $y = 0.01x + 5$

Explanation:

Step1: Identify trend and intercept

The line has a negative slope, eliminating option D. The y-intercept is ~5, matching options B and C.

Step2: Test slope plausibility

For $x=800$, expected $y\approx1.5$.
For option B: $y=-0.004(800)+5 = -3.2 +5 =1.8$, matches the plot.
For option C: $y=-800+5=-795$, impossible for positive price.
Option A has nonsensical large slope leading to negative price at small $x$.

Answer:

B. $y = -0.004x + 5$