Question

Which proportion would you use to solve the following problem?

A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 8 cm apart on the map.

Answer 1

○=> Correct option :

`\color{plum} \tt \: \bold{A) \: (1)/(5) = (8)/(x)}`

○=> Steps to derive correct option :

Ratio of scale in map to the actual distance in land = 1 cm : 5 km

We can write this ratio in fractional form as :

`= \tt (1)/(5)`

Distance between two cities in map = 8 cm

Let the distance between two cities in land be x.

This can be written as :

`\hookrightarrow\tt (1)/(5) = (8)/(x)`

Let us solve this equation to find the actual distance between the two cities :

`= \tt (1)/(5) = (8)/(x)`

`= \tt 1 * x = 8 * 5`

`\hookrightarrow\color{plum} \tt \: x = 40 \: km`

Thus, the actual distance between the two cities = 40 km

Therefore, the correct option is (A) [/tex] \frac{1}{5} = \frac{8}{x} [tex]

Answer 2

A) x=40

Explanation:

As 1 cm= 5 km

then, 8 cm= 5*8= 40