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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.

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 th class=

Respuesta :

Answer:

A) x=40

Step-by-step explanation:

As 1 cm= 5 km

then, 8 cm= 5*8= 40

LadyStrange

○=> Correct option :

[tex] \color{plum} \tt \: \bold{A) \: \frac{1}{5} = \frac{8}{x}} [/tex]

○=> 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 :

[tex] = \tt \frac{1}{5} [/tex]

Distance between two cities in map = 8 cm

Let the distance between two cities in land be x.

This can be written as :

[tex] \hookrightarrow\tt \frac{1}{5} = \frac{8}{x} [/tex]

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

[tex] = \tt \frac{1}{5} = \frac{8}{x} [/tex]

[tex] = \tt 1 \times x = 8 \times 5[/tex]

[tex] \hookrightarrow\color{plum} \tt \: x = 40 \: km[/tex]

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

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

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