Answer:
The butterfly travels 660 ft in 1.25 min.
Step-by-step explanation:
If the distance, d, a butterfly flies varies directly as the time,t in the air, then we can write the mathematical statement.
[tex]d\propto t[/tex]
If we introduce the constant of proportionality, we obtain;
[tex]d=kt[/tex]
According to the question, when [tex]d=264\:ft[/tex], [tex]t=0.5\:min[/tex].
We substitute these values to obtain;
[tex]264=0.5k[/tex]
[tex]\Rightarrow k=\frac{264}{0.5}[/tex]
[tex]\Rightarrow k=528[/tex]
The direct variation equation now becomes
[tex]d=528t[/tex]
When [tex]t=1.25\:min[/tex]
[tex]d=528(1.25)[/tex]
[tex]d=660[/tex]
Therefore the butterfly will travel 660 ft in 1.25 min.
