Question

what is direct and inverse proportion give one example​

Answer 1

Answer:

A direct and inverse proportion are used to show how the quantities and amount are related to each other. ... For example, if we say, a is proportional to b, then it is represented as 'a∝b' and if we say, a is inversely proportional to b, then it is denoted as 'a∝1/b'.

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Answer 2

Answer:

The proportion is said to be a direct proportion between two values when one is a multiple of the other.

For example, 1 cm is equal to 10 mm.

Here, in order to convert cm to mm, the multiplier should be 10.

Example 1:

A train is moving at a uniform speed of 75 kilometres/hour.

(i)How many kilometres are covered by train in 20 minutes?

(ii) Find the time required to cover a distance of 250 kilometres.

Solution:

Let the distance travelled (in km) in 20 minutes be a and time taken (in minutes) to cover 250 km be b.

Distance travelled (in km) 75 a 250

Time taken (in minutes) 60 20 b

We know that 1 hour = 60 minutes

Since the speed of the train is uniform, therefore, the distance covered would be directly proportional to time.

(i) We have 75 /60 = a /20

or (75 /60) 20 = a

or a = 25

So, the train will cover a distance of 25 kilometres in 20 minutes.

(ii) Also, 75/60=250/ b or

b=(250 x 60)/ 75

b = 200 minutes or 3 hours 20 minutes.

Therefore, 3 hours 20 minutes is required to cover a distance of 250 kilometres.

Alternatively, when a is known, then one can determine b, using the relation

a/20 =250/ b

Example 2:

The value f is directly proportional to g. When f = 20, g = 10. Find an equation relating f and g.

Solution:

Given, f ∝ g

or we can write,

f = kg, where k is the constant proportionality.

20 = k x 10

k = 2

Therefore, the required equation is;

f = 2g

Step-by-step explanation:

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