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romanna [79]
3 years ago
12

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?
Mathematics
1 answer:
Eva8 [605]3 years ago
7 0

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.

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