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. A. B. C. D.

Answer 1

`\bf \large{\pink{ \implies}} \tt \: (1 \: cm)/(5 \: km) \: = \: (8 \: cm)/(x) \: \: \: \rm{\red{ (cross \: \: multiplying)}}`

`\bf \large{\pink{ \implies}} \tt \:x \: = \: 40`

⇛ Distance is 40 km

Answer 2

40 km

Explanation:

We can use a ratio to solve

1 cm 8 cm

-------- = ----------

5 km x km

Using cross products

1 * x = 5 * 8

x = 40

40 km