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Louise stops by a gift store tobuy a souvenir of the Statue ofLiberty. The original height ofthe statue is 151 feet. If a scalefactor of 1 inch = 20 feet isused to design the souvenir,what is the height of thereplica?

Answer :

We know that 1 inch represents 20 ft; to determine how tall is the souvenir let x be the unknown height of it; we know that the actual statue is 151 ft then we have the proportion:

[tex]\frac{1}{20}=\frac{x}{151}[/tex]

Solving for x we have:

[tex]\begin{gathered} \frac{1}{20}=\frac{x}{151} \\ x=\frac{151}{20} \\ x=7.55 \end{gathered}[/tex]

Therefore, the height of the souvenir is 7.55 inches

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