A hummingbird can travel up to 15 meters per second.What is the hummingbird's speed in miles per hour?1 mile ≈ 1609 meters Enter your answer, as a decimal to the nearest tenth, in the box. mph

A hummingbird can travel up to 15 meters per secondWhat is the hummingbirds speed in miles per hour1 mile 1609 meters Enter your answer as a decimal to the near class=

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SOLUTION

The speed of the hummingbird is giving as

[tex]\text{ 15meter/seconds }[/tex]

Recall that

[tex]1\text{mile}\approx1609\text{ meters }[/tex]

Hence

[tex]\begin{gathered} 15\text{meters will be }\frac{15}{1609}miles\text{ } \\ \\ \end{gathered}[/tex]

Recall that

[tex]3600\text{ seconds =1hour }[/tex]

Hence

the speed of the hummingbird in miles per hour will be

[tex]\begin{gathered} \frac{15}{1609}\times\frac{3600}{1}=\frac{54000}{1609}=33.56\text{miles per hour } \\ \\ \end{gathered}[/tex]

Therefore the speed in miles per hour to the nearest tenth is 33.6mph