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 scatter - plot shows a negative correlation (as price increases, number of sales decreases). We need to find a line of best fit that passes through or is close to most of the data points.

Step2: Check each option

• Option (a): The line seems to be a good fit as it is in the middle of the data points and follows the general negative trend.
• Option (b): The line is too low for the left - hand side data points (e.g., at \(x = 10\), the data points are around \(y=90\) and the line in option (b) is much lower).
• Option (c): The line starts too low for the left - hand side data points (at \(x = 10\), the data points are around \(y = 90\) and the line in option (c) is lower).
• Option (d): The line is too low for the left - hand side data points (at \(x = 10\), the data points are around \(y=90\) and the line in option (d) is lower).

Answer:

a.