Question

Determine the perfect square values that best complete the expression
x

<
300

<
y

by squeezing the interval on a number line.
A. x=299,y=301
B. x=100,y=400
C. x=256,y=361
D. x=289,y=324

Answers

Answered by GPT-4o mini
To find the perfect square values that best complete the expression \( x < 300 < y \), we need to determine perfect squares that are closest to 300.

Let's find the perfect squares around 300:

- The perfect square just below 300 is \( 17^2 = 289 \).
- The perfect square just above 300 is \( 18^2 = 324 \).

Thus, we can choose \( x = 289 \) and \( y = 324 \).

So, the correct option is:

**D. x=289, y=324**.
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