Claire is pricing fabric to make a rectangular curtain that is 2 in by 3 in.

The drawing shows a curtain that is 1/130 the size of the actual curtain. She has two options for pricing the fabric:

Option 1 is to buy fabric based on the area of the curtain, at a rate of $0.03 per square inch.
Option 2 is to purchase rolls of the fabric at $25 per roll. Each roll of fabric covers 900 square inches.
Select all statements that are true about the cost of fabric for Claire's curtain.

Answer Choices

a) Option 1 costs $20 less than Option 2.


b) Option 1 costs $162.


c) Option 2 costs $25.


d) Option 2 is the better choice, because it costs less to cover each square inch.

is the size of the curtain 6 sqin? or 130 times that? This is a weird problem.

No drawing. Cannot copy and paste here.

It would also help if you proofread your questions before you posted them.

"2 in by 3 in. "? Is this for a doll house?

To find the cost of fabric for Claire's curtain, we need to calculate the area of the curtain, and then determine the cost based on the given options.

First, let's find the area of the curtain. The curtain is rectangular with dimensions of 2 inches by 3 inches. The area of a rectangle is calculated by multiplying the length by the width. Therefore, the area of the curtain is 2 inches * 3 inches = 6 square inches.

Now, let's evaluate Option 1. Option 1 states that the cost is $0.03 per square inch. To find the cost for the curtain, we multiply the area of the curtain (6 square inches) by the rate ($0.03 per square inch). Therefore, the cost for Option 1 would be 6 square inches * $0.03 = $0.18.

Next, let's evaluate Option 2. Option 2 states that the cost is $25 per roll, and each roll covers 900 square inches. To determine the number of rolls needed, we divide the area of the curtain (6 square inches) by the coverage per roll (900 square inches per roll). Therefore, the number of rolls needed is 6 square inches / 900 square inches per roll ≈ 0.0067 rolls. Since we cannot purchase a fraction of a roll, we need to round up to the nearest whole number. So, we need to purchase 1 roll. Therefore, the cost for Option 2 would be $25.

Now, let's analyze the given answer choices:

a) Option 1 costs $20 less than Option 2: This statement is false. Option 1 costs $0.18, and Option 2 costs $25. The difference between the two costs is $24. Therefore, Option 1 costs $24 less than Option 2, not $20.

b) Option 1 costs $162: This statement is false. We have already calculated the cost for Option 1 to be $0.18.

c) Option 2 costs $25: This statement is true. We have calculated the cost for Option 2 to be $25.

d) Option 2 is the better choice because it costs less to cover each square inch: This statement is false. Although Option 2 costs less in this specific case, it is not necessarily the better choice in all cases. The better choice depends on factors such as the area of the curtain and the cost per square inch. In this case, Option 1 costs $0.03 per square inch, which is less than the cost per square inch in Option 2.

Therefore, the correct answer is: c) Option 2 costs $25.