The required change in elevation of butterfly is 1.5 ft\min.
Given that,
A butterfly is flying [tex]8\frac{3}{4}[/tex] feet above the ground.
It descends at a steady rate to a spot [tex]6 \frac{1}{4}[/tex] feet above the ground in [tex]1\dfrac{2}{3}[/tex] minutes.
We have to determine,
The butterfly’s change in elevation each minute.
According to the question,
Change in elevation = butterfly flying above ground - it descends at a steady rate to a spot above the ground ,
[tex]= 8\dfrac{3}{4} - 6\dfrac{1}{4}\\\\= \dfrac{35}{4} - \dfrac{25}{4}\\\\= \dfrac{10}{4}\\\\= \dfrac{5}{2}\\\\= 2.5 feet[/tex]
Then,
To find Change in elevation per minute,
[tex]= T = 1\dfrac{2}{3} = \dfrac{5}3}[/tex]
Therefore,
Change in elevation per minute,
[tex]= \dfrac{2.5}{\frac{5}{3}} = 2.5 \times \dfrac{3}{5} = 1.5 \ ft \ per\ minute[/tex]
Hence, The required change in elevation of butterfly is 1.5 ft\min.
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