Math  /  Numbers & Operations

QuestionQ5) The scale on a map states that 1 cm is 10 km . If you measure 8 cm on the map how many km would the actual distance be? 8 cm=10 km8 \mathrm{~cm}=10 \mathrm{~km} 8 cm=80 km8 \mathrm{~cm}=80 \mathrm{~km} 8 cm=17 km8 \mathrm{~cm}=17 \mathrm{~km} 8 cm=18 km8 \mathrm{~cm}=18 \mathrm{~km}

Studdy Solution

STEP 1

1. The scale of the map is 1 cm=10 km 1 \text{ cm} = 10 \text{ km} .
2. We need to find the actual distance corresponding to a measurement of 8 cm 8 \text{ cm} on the map.

STEP 2

1. Understand the scale.
2. Set up a proportion.
3. Solve the proportion.

STEP 3

Understand the scale given: 1 cm on the map=10 km in reality 1 \text{ cm on the map} = 10 \text{ km in reality} .

STEP 4

Set up a proportion based on the scale.
1 cm10 km=8 cmx km\frac{1 \text{ cm}}{10 \text{ km}} = \frac{8 \text{ cm}}{x \text{ km}}

STEP 5

Solve the proportion for x x .
Multiply both sides by x x and then by 10 10 to isolate x x .
1x=1081 \cdot x = 10 \cdot 8
x=80x = 80
The actual distance corresponding to 8 cm 8 \text{ cm} on the map is:
80 km\boxed{80 \text{ km}}

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