Question

rashmi has a road map with a scale of 1 centimeters representing 18 km.she drives on a road for 72 km what would he her distance covered in the map​

Answer 1

Answer:

If two quantities increase or decrease together in such a manner that the ratio of their corresponding values remain constant, we say  that the two quantities vary  directly.

In other words x and y are said to vary directly if X/y = k , where k is a positive constant.

In direct Proportion

x/y= k

x=ky

So we can find value of k from known values, and then use the formula to calculate the unknown values.

When two quantities x and y are in direct proportion (or vary directly) they are also written as x∝y.

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Solution:

[Table is in the attachment]

Lett the distance represented in the map be ‘x’.

Here distance covered in road and the distance represented  in the map are in direct proportion.

 

18/1 = 72/x

X× 18 = 72× 1

X= 72/18

X= 4 cm

Hence, the distance covered in the map is 4cm.

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Hope this will help you...

Answer 2

1 cm=18km

?=72km

cross multiplication

1×72÷18

72÷18 = 4 cm.

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