Question

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enlarged 20.000 times only, wh
Observe the following tables and find if x is directly proportional
11
14
8
5
2
ord
ent po
100
20
17
28
22
16
10
34
4
40
у
nal:
14
18
22
26
10
30
6
X
12
20
4
8
16
24
28
can
5
oo
12
15
18
X
20
25
15
24
60
36
72
y у
100
can
125
Sushma has a road map with a scale of 1 cm representing 18 km. She drive
ch
72 km What would be her distance covered in the man?​

Answer 1

$\underbrace{appriate \: question}$

Sushma has a road map with a scale of 1 cm representing 18 km. She drive 72 km What would be her distance covered in the man?

$\underbrace {your \: answer}$

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

Now..

let the distance represented on the map be x cm.

The distances covered on road and represented on map are directly proportional to each other.

∴ 18/1 = 72/x

18x = 72

x = 72/18

x = 4

Hence, the distance represented on the map is 4 cm.

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