Question

Pittsburgh, Pennsylvania and State College, Pennsylvania are 9.8 inches apart on a map that has as inches equal to 15 miles.

Answer 1

Answer:

Part a) $\frac{1}{15}\frac{inch}{miles}$

Part b) $147\ miles$

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

$\frac{1}{15}\frac{inch}{miles}$

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

$\frac{1}{15}\frac{inch}{miles}=\frac{9.8}{x}\frac{inch}{miles}\\ \\x=15*9.8\\ \\x=147\ miles$