Question

direct and Inverse proportion
complete explanation with 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'. ..

Answer 2

Answer:

DIRECTLY PROPORTIONAL : as one amount increases, another amount increases at the same rate.

The symbol for "directly proportional" is ∝

(Don't confuse it with the symbol for infinity ∞)

EXAMPLE:-

Example: you are paid $20 an hour

How much you earn is directly proportional to how many hours you work

Work more hours, get more pay; in direct proportion.

             

This could be written:

                        Earnings ∝ Hours worked

⇒If you work 2 hours you get paid $40

⇒If you work 3 hours you get paid $60

⇒etc ...

INVERSELY PROPORTIONAL : when one value decreases at the same rate that the other increases.

EXAMPLE:-

                         speed and travel time

Speed and travel time are Inversely Proportional because the faster we go the shorter the time.

As speed goes up, travel time goes down

And as speed goes down, travel time goes up

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