Question

The distance a butterfly flies varies directly with it's time in the air. If a butterfly travels 264 ft in 0.5 min, how far will the butterfly travel in 1.25 min?

Answer 1

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.

$d\propto t$

If we introduce the constant of proportionality, we obtain;

$d=kt$

According to the question, when $d=264\:ft$, $t=0.5\:min$.

We substitute these values to obtain;

$264=0.5k$

$\Rightarrow k=\frac{264}{0.5}$

$\Rightarrow k=528$

The direct variation equation now becomes

$d=528t$

When $t=1.25\:min$

$d=528(1.25)$

$d=660$

Therefore the butterfly will travel 660 ft in 1.25 min.