Question

1. maurice works in the sales department of techieland, a store that sells electronic items online. techieland changes the prices of their products every week. their flagship product is techie headphones. maurice has been recording over several weeks the data of the number of units sold (y) based on the price (x). the scatter plot below shows the results: which equation best describes the line of best fit? a. y = 2.01x + 352 b. y = 2x + 174 c. y = -0.98x + 174 d. y = -1.99x + 349

Explanation:

Step1: Determine the slope sign

As the price \(x\) increases, the number of units sold \(y\) decreases. So the slope \(m\) of the line of best - fit is negative. Options A (\(y = 2.01x+352\)) and B (\(y = 2x + 174\)) have positive slopes, so we can eliminate them.

Step2: Estimate the \(y\) - intercept

When \(x = 0\) (theoretical minimum price), looking at the scatter - plot, the \(y\) - value (number of units sold) is around \(250 - 350\). For option C (\(y=-0.98x + 174\)), when \(x = 0\), \(y=174\) which is too low. For option D (\(y=-1.99x+349\)), when \(x = 0\), \(y = 349\) which is more in line with the upper - end of the \(y\) - values when \(x\) is near \(0\) in the scatter - plot.

Answer:

D. \(y=-1.99x + 349\)