Question

the scatter plot shows the relationship between the weekly total sales ($) and the number of different rug designs a rug store has. based on this relationship, use the line of best fit to predict what the total sales will be when the store has 110 different rug designs.

the scatter plot shows the relationship between the weekly total sales ($) and the number of different rug designs a rug store has. based on this relationship, use the line of best fit to predict what the total sales will be when the store has 110 different rug designs.

scatter plot with x-axis: number of designs (0 to 160), y-axis: total sales ($) (0 to 50000), line of best fit and data points

a. $31,000 c. $38,000
b. $0 d. $35,000

options: a, b, c, d

Explanation:

Step1: Identify line equation

From the plot, when number of designs ($x$) = 80, sales ($y$) = 25000; when $x$=120, $y$=40000. Slope $m=\frac{40000-25000}{120-80}=375$. Using point-slope: $y-25000=375(x-80)$ → $y=375x - 5000$.

Step2: Predict sales at x=110

Substitute $x=110$: $y=375×110 -5000=41250-5000=36250$. Closest option is $35000$ (considering plot approximation).

Answer:

D. $35,000$