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Each inch on a map of Roswell, New Mexico represents $0.51\text{ mile}$. If two hills in Roswell are $7$ inches apart on the map, then how many miles apart are they in real life? Enter your answer as a decimal, without units.

Respuesta :

calculista

Answer:

[tex]3.57[/tex]

Step-by-step explanation:

we know that

The scale factor on a map is equal to

[tex]\frac{1}{0.51}\frac{inch}{miles}[/tex]

so

by proportion

Find how many miles are in the real life [tex]7[/tex] inches apart on the map

[tex]\frac{1}{0.51}\frac{inch}{miles}=\frac{7}{x}\frac{inches}{miles}\\ \\x=0.51*7\\ \\x=3.57 \ miles[/tex]

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