Question

Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle ha length 3/8 and width of 3in. Detriment wether the dimensions of each rectangle described as a proportional to the dimensions of tailors first rectangle

Answer 1

By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:

• No, a length of 6 in, width 3/4 in. is not proportional.
• Yes, a length of 1/2 in, width 4 in. is not proportional.
• No, a length of 1 1/8 in, width 9 in. is not proportional.
• No, a length of 3 in, width 5 5/8 in. is not proportional.

What is a direct proportion?

Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:

y = kx

Where:

• y and x are the variables or dimensions.
• k represents the constant of proportionality.

For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.

Next, we would determine the constant of proportionality (k) as follows:

k = y/x

k = (3/8)/3

k = 3/24

k = 1/8

For dimension 1, we have:

k = y/x

k = (6)/(3/4)

k = 24/3

k = 8 (No).

For dimension 2, we have:

k = y/x

k = (1/2)/4

k = 1/2 × 1/4

k = 1/8 (Yes).

For dimension 3, we have:

k = y/x

k = (1 1/8)/9

k = (9/8)/8

k = 9/8 × 1/8

k = 9/64 (No).

For dimension 4, we have:

k = y/x

k = (3)/(5 5/8)

k = 3/(45/8)

k = 3 × 8/45

k = 24/45 (No).

Read more on proportionality here: brainly.com/question/12866878

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Complete Question:

Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.