To determine the cost of 12 yards of fabric, we first need to analyze the pattern from the given table of fabric costs.
From the data provided:
- 3 yards cost 5 dollars.
- 5 yards cost 10 dollars.
- 6 yards cost 9 dollars.
- 10 yards cost 15 dollars.
- 9 yards cost 15 dollars.
Let's calculate the cost per yard for the known quantities:
-
For 3 yards at 5 dollars:
Cost per yard = 5 / 3 ≈ 1.67 dollars/yard -
For 5 yards at 10 dollars:
Cost per yard = 10 / 5 = 2 dollars/yard -
For 6 yards at 9 dollars:
Cost per yard = 9 / 6 = 1.5 dollars/yard -
For 10 yards at 15 dollars:
Cost per yard = 15 / 10 = 1.5 dollars/yard -
For 9 yards at 15 dollars:
Cost per yard = 15 / 9 ≈ 1.67 dollars/yard
It appears that there are different prices from the samples provided, and we need to determine the cost for 12 yards.
To find a reasonable estimate, let's assume that the cost per yard stabilizes around the average of the previous costs identified.
Calculating average prices:
- From the data above:
- 5 / 3 = 1.67
- 10 / 5 = 2
- 9 / 6 = 1.5
- 15 / 10 = 1.5
- 15 / 9 = 1.67
The average seems to cluster around an estimate of 1.5 to 2 dollars per yard.
Now let’s calculate the cost of 12 yards at both prices.
If cost is 1.5 dollars/yard:
Cost for 12 yards = 12 * 1.5 = 18 dollars
If cost is 2 dollars/yard:
Cost for 12 yards = 12 * 2 = 24 dollars
Looking at the options provided:
- 18 dollars
- 20 dollars
- 24 dollars
- 25 dollars
There are two possible answers, but considering the deduction:
Based on the cost calculations and the average price, the best conclusion is that the cost for 12 yards of fabric is 24 dollars.