If a model of a car has a scale of 1:200, how many times smaller is the model car than an actual car? If Africa is represented on a map with a scale of 1: 5 000 000, how many times bigger is the actual continent of Africa compared to how it is drawn on the map?

Geography
If a model of a car has a scale of 1:200, how many times smaller is the model car than an actual car? If Africa is represented on a map with a scale of 1: 5 000 000, how many times bigger is the actual continent of Africa compared to how it is drawn on the map?

ScanSolve AI Answer

Answer

50$ units on the actual car.

Step 1: Model car scale

Scale given: 1:501:50.

This means 11 unit on the model =50= 50 units on the actual car.

Ratio of actual car to model =50= 50.

The model is 50\mathbf{50} times smaller than the actual car.

Step 2: Map scale in words

Scale given: 1:5000001:500\,000.

In words: 11 to 500000500\,000.

1to500000\mathbf{1 to 500\,000} (one to five hundred thousand).

Step 3: Straight line distance using scale 11 cm =500= 500 m

Measure the straight line distance from A to B on the map (using ruler).

Let map distance =d= d cm (to be measured from map).

Map distance =d= \mathbf{d} cm (measure from map image).

Step 4: Scale table types

Types of scales:

  • 11 cm to 2020 km: written scale (or verbal/statement scale).

  • 1:5000001:500\,000: ratio scale (or representative fraction scale).

  • 34003400 m (or 500500 m bar): graphical scale (or bar scale/line scale).

NoScaleTypeofscale11cmto20kmwrittenscale21:500000ratioscale33400mgraphicalscale4500mgraphicalscale\begin{array}{|c|c|c|} \hline No & Scale & Type of scale \\ \hline 1 & 1 cm to 20 km & written scale \\ \hline 2 & 1:500\,000 & ratio scale \\ \hline 3 & 3400 m & graphical scale \\ \hline 4 & 500 m & graphical scale \\ \hline \end{array}
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Quick Answer

Model car scale Scale given: 1:50. This means 1 unit on the model = 50 units on the actual car.

If a model of a car has a scale of 1:200, how many times smaller is the model car than an actual car? If Africa is represented on a map with a scale of 1: 5 000 000, how many times bigger is the actual continent of Africa compared to how it is drawn on the map?
Geography

This geography problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.

ScanSolve AI Answer
Step 1: Model car scale Scale given: 1:50. This means 1 unit on the model = 50 units on the actual car. Ratio of actual car to model = 50. The model is 50 times smaller than the actual car. Step 2: Map scale in words Scale given: 1:500\,000. In words: 1 to 500\,000. 1 to 500\,000 (one to five hundred thousand). Step 3: Straight line distance using scale 1 cm = 500 m Measure the straight line distance from A to B on the map (using ruler). Let map distance = d cm (to be measured from map). Map distance = d cm (measure from map image). Step 4: Scale table types Types of scales: 1 cm to 20 km: written scale (or verbal/statement scale). 1:500\,000: ratio scale (or representative fraction scale). 3400 m (or 500 m bar): graphical scale (or bar scale/line scale). |c|c|c| No & Scale & Type of scale \\ 1 & 1 cm to 20 km & written scale \\ 2 & 1:500\,000 & ratio scale \\ 3 & 3400 m & graphical scale \\ 4 & 500 m & graphical scale \\