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Pittsburgh, Pennsylvania and State College, Pennsylvania are 9.8 inches apart on a map that has as inches equal to 15 miles.
a) Set up a proportion to show the relationship between the distance in miles and the size of the map
b) How far apart are the cities in real life?

Respuesta :

calculista

Answer:

Part a) [tex]\frac{1}{15}\frac{inch}{miles}[/tex]

Part b) [tex]147\ miles[/tex]

Step-by-step explanation:

Part a) Set up a proportion to show the relationship between the distance in miles and the size of the map

we know that

The scale on a map is equal to

[tex]\frac{1}{15}\frac{inch}{miles}[/tex]

That means

1 inch on a map represent a 15 miles in real life

Part b) How far apart are the cities in real life?

Let

x -----> the distance in real life

using proportion

[tex]\frac{1}{15}\frac{inch}{miles}=\frac{9.8}{x}\frac{inch}{miles}\\ \\x=15*9.8\\ \\x=147\ miles[/tex]

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