Question

For a rectangular pool with a fixed area, the length of the pool varies inversely with the width. Which equation represents this situation for an area of 512 square feet?(1 point)%0D%0AResponses%0D%0A%0D%0Ax⋅y=512%0D%0Ax times y equals 512%0D%0A%0D%0Ax−y=512%0D%0Ax minus y equals 512%0D%0A%0D%0Ax+y=512%0D%0Ax plus y equals 512%0D%0A%0D%0Axy=512

Answers

GPT-4o mini
For a rectangular pool with a fixed area, the area \( A \) is given by the formula:

\[
A = \text{length} \times \text{width}
\]

In this situation, if we let \( x \) represent the length and \( y \) represent the width of the pool, and given that the area is fixed at 512 square feet, we have:

\[
x \cdot y = 512
\]

Thus, the correct equation that represents this situation is:

\[
xy = 512
\]

So, the response is **xy = 512**.