you are the manager of a retail store, and you have been tasked with finding the return rate on a certain…

you are the manager of a retail store, and you have been tasked with finding the return rate on a certain brand of laptop computers. you have assembled the data on the number of computers sold and the number returned over the past six months in the table below.\n| month | oct | nov | dec | jan | feb | mar |\n| sold | 1,621 | 1,752 | 1,848 | 1,634 | 1,725 | 1,780 |\n| returned | 223 | 415 | 421 | 560 | 330 | 304 |\nusing the table as experimental data, if your store has 379 laptops returned in april, how many laptops are likely to have been sold in april?\n a. 1,578\n b. 1,740\n c. 1,743\n d. 2,219
Answer
Answer:
b. 1,740
Explanation:
Step1: Calculate average return - rate
First, find the total number of laptops sold and returned over the six - month period. Total sold = $1621 + 1752+1848 + 1634+1725+1780=10360$ Total returned = $223 + 415+421+560+330+304 = 2253$ Average return - rate $r=\frac{2253}{10360}\approx0.2175$
Step2: Estimate number of laptops sold in April
Let $x$ be the number of laptops sold in April. We know the number of returned laptops in April is 379. Since $r=\frac{\text{Number of returned}}{\text{Number of sold}}$, then $x=\frac{379}{0.2175}\approx1742.52\approx1740$ (rounded to the nearest whole number)