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.

Question

asked Jun 19, 2022 159k views

2 Answers

Mercury · Answer 1 · 2022-06-19T22:29:12+0000

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]