In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 10.5 inches long, what will the wingspan be?

Respuesta :

21feetĂ—12=252inches
252inches/10.5inches=24
17.5feetĂ—12inches=210inches
210inches/24=8.75inches

the wingspan of the model is 8.75 inches

Answer:

8.75 inches

Step-by-step explanation:

We are given that Elisa bought a kit to make a model of a jet airplane

The length of  actual plane=21 feet

The length of wingspan in actual plane =17.5 feet

In the model

Length of airplane=10.5 inches

We know that 1 foot=12 inches

Length of actual plane=[tex]21\times12=252 inches[/tex]

Length of wingspan in actual plane=[tex]17.5\times 12=210 inches[/tex]

If a length of plane is large then length of its wingspan is large and if a plane is short then its wingspan is short also.

It is directly proportional

if x is directly proportional to y

Then  ,x=ky

[tex]k=\frac{x}{y}[/tex]

Let x be the length of wingspan in model

Then, using directly proportional property

[tex]\frac{252}{210}=\frac{10.5}{x}[/tex]

[tex]x=\frac{10.5\times 210}{252}[/tex]

[tex]x=8.75[/tex]

Hence,length of wingspan in model=8.75 inches

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