Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeters. If the scale of the map is 1 centimeter to 8 kilometers, what is the real distance fro the shop to the store

Respuesta :

The real distance fro the shop to the store is 24 km

Solution:

Given that, Jakes map shows the distance from the bake stars cafe to the restaurant supply store as 3 centimeter

Scale of the map is 1 centimeter to 8 kilometers

Therefore, scale is:

[tex]1\ centimeter : 8\ kilometer[/tex]

Let "x" be the real distance from the shop to the store

Then by proportion, we get,

[tex]\frac{1\ centimeter}{8\ kilometer} = \frac{3\ centimeter}{x\ kilometer}\\\\\frac{1}{8} = \frac{3}{x}\\\\x = 3 \times 8\\\\x = 24[/tex]

Thus real distance fro the shop to the store is 24 km