Question

candlelight books kept a record of how its sales increased based on discounts it offered. the scatter - plot shows the results. based on the line of best fit, which of the following statements is true? a. when the discount is 0%, the sales increase is 10%. b. as the discount increases by 1%, the sales increase by 30%. c. as the discount increases by 10%, the sales increase by 32%. d. as the discount increases by 1%, the sales increase by 3%.

Explanation:

Step1: Find the slope of the line

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using the points $(10,32)$ and $(20,62)$, we have $m=\frac{62 - 32}{20 - 10}=\frac{30}{10}=3$.

Step2: Interpret the slope

The slope represents the change in sales increase (y - variable) for a unit - change in discount (x - variable). A slope of 3 means that as the discount increases by 1%, the sales increase by 3%.

Answer:

D. As the discount increases by 1%, the sales increase by 3%.