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

The butterfly travels 660 ft in 1.25 min.

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=(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.