Question

the manager of a company records the numbers of sales of a product based on different prices for the product. the scatter plot displays the data. which line best models the relationship between the price in dollars and the number of sales for this product?

Explanation:

Step1: Analyze the scatter - plot trend

The general trend of the data points in the scatter - plot is that as the price (x - axis) increases, the number of sales (y - axis) decreases. A line of best fit should follow this overall downward trend.

Step2: Check the position of data points relative to the line

In option (a), the line is placed in a way that most of the data points are below the line. In option (b), the line is too far from the initial data points (for low - price values). In option (c), the line is a good fit as it passes through the "middle" of the data points, following the general downward trend of the scatter - plot. In option (d), the line is too far from some of the data points (for higher - price values).

Answer:

C.