Question

on a road map of pennsylvania the distance from philadelphia to washington d.c. is 6.8 cenimeters.the map scale is 2 cm:40 mi.what is the actual distance between both cities

Answer 1

136 miles

Explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of
`(map)/(real world)` and simplify.

We know
`(map)/(real world)=(2cm)/(40 miles)`. We also know

`(6.8cm)/(xmiles)`.

We set them equal.

`(6.8)/(x)=(2)/(40)`

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

`6.8(40)=2(x)\\272=2x\\(272)/(2)=(2x)/(2) \\136=x`