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?
21feet×12=252inches
252inches/10.5inches=24
17.5feet×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=\(21\times12=252 inches\)
Length of wingspan in actual plane=\(17.5\times 12=210 inches\)
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
\(k=\frac{x}{y}\)
Let x be the length of wingspan in model
Then, using directly proportional property
\(\frac{252}{210}=\frac{10.5}{x}\)
\(x=\frac{10.5\times 210}{252}\)
\(x=8.75\)
Hence,length of wingspan in model=8.75 inches