Walter is using the iterative process to determine that 13−−√

is between 3.61 and 3.62. Analyze Walter's estimation. Is he correct? If not, what mistake did he make?(1 point)
Responses

Yes, Walter is correct.
Yes, Walter is correct.

No, 3.612
is less than 13.
No, 3 point 6 1 squared is less than 13.

No, both 3.612
and 3.622
are less than 13.
No, both 3 point 6 1 squared and 3 point 6 2 squared are less than 13.

No, both 3.612
and 3.622
are greater than 13.
No, both 3 point 6 1 squared and 3 point 6 2 squared are greater than 13.

1 answer

To determine whether Walter is correct in estimating that 13 is between 3.61 and 3.62, we can square both values to see if they fall below or above 13.

  1. Calculate 3.612: 3.612=12.9921

  2. Calculate 3.622: 3.622=13.0644

Now we can analyze:

  • 3.612=12.9921 which is less than 13.
  • 3.622=13.0644 which is greater than 13.

This means that 13 is indeed between 3.61 and 3.62, so Walter's estimation is correct.

The correct response would be: Yes, Walter is correct.

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