The change in the turtle's position is [tex]11 \frac{5}{12}[/tex] inches
From the question,
We are to determine the change in the turtle's position
From the given information
A turtle is 20 5/6 ([tex]20\frac{5}{6}[/tex]) inches below the surface of a pond
and
The turtle dives to a depth of 32 1/4 ([tex]32\frac{1}{4}[/tex]) inches
To determine the change in the turtle's position, we calculate the difference between the initial position of the turtle and its final position.
∴ The change in the turtle's position = [tex]32\frac{1}{4} -20\frac{5}{6}[/tex]
= [tex]\frac{129}{4} -\frac{125}{6}[/tex]
= [tex]\frac{387-250}{12}[/tex]
= [tex]\frac{137}{12}[/tex]
= [tex]11 \frac{5}{12}[/tex] inches
Hence, the change in the turtle's position is [tex]11 \frac{5}{12}[/tex] inches
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