Tina wants to buy flannel sheets. She reads that a weight of at least 190 grams per square meter is considered high quality. She finds 3 options for flannel sheets:

1)1,100g of flannel in 6 square meters, $45.
2)1,260g of flannel in 6.6 square meters, $42.
3)1,300g of flannel in 6.5 square meters, $52.
She would like to buy the sheet that meets her requirements for high quality and has the lowest price per square meter. Which option should she buy? Justify your answer.
THANK YOU!!

divide each price by its area. The smallest quotient is the best buy in $/m^2.

How you factor in the quality is not specified.

To determine which option Tina should buy, we need to calculate the price per square meter for each option and compare it to the requirement for high quality of at least 190 grams per square meter.

Option 1:
- Weight of flannel: 1,100g
- Area: 6 square meters
- Price: $45

To calculate the price per square meter, we divide the price by the area:
Price per square meter of option 1 = $45 / 6 = $7.50

Option 2:
- Weight of flannel: 1,260g
- Area: 6.6 square meters
- Price: $42

Price per square meter of option 2 = $42 / 6.6 ≈ $6.36

Option 3:
- Weight of flannel: 1,300g
- Area: 6.5 square meters
- Price: $52

Price per square meter of option 3 = $52 / 6.5 ≈ $8.00

Now, let's check if the weight of each option meets the requirement of at least 190 grams per square meter:

- Option 1: 1,100g / 6 = 183.33 grams per square meter
- Option 2: 1,260g / 6.6 ≈ 190.91 grams per square meter
- Option 3: 1,300g / 6.5 ≈ 200 grams per square meter

Based on the calculations, option 2 has the lowest price per square meter ($6.36) and also meets the requirement for high quality with a weight of approximately 190.91 grams per square meter. Therefore, Tina should buy option 2.

Justification:
Option 2 has the lowest price per square meter among the three options, and its weight per square meter is slightly above the requirement for high quality. This makes it the most cost-effective choice that meets Tina's requirement for high-quality flannel sheets.