Question

Suppose the relationship between X and Y is proportional when X is 5, why is 75 identify the constant of proportionality of x to y suppose the relationship between X and Y is proportional. When X is 5, why is 75. Identify the constant of proportionality of x to y

Answer 1

The Constant of Proportionality k is 15.

Explanation:

Given:

y varies directly with x .

y = 75 when x = 5

To Find:

Constant of proportionality = k =?

Solution:

y varies directly with x .

i.e. y is directly proportional to x

∴
`y = k* x`

Where

k = constant of proportionality {Remain Same}

So, we will find constant of proportionality k,

∴ When x = 5 and y = 75 we have

∴
`75 = k* 5\\\\k=(75)/(5)`

`\therefore k =15`

Therefore the Constant of Proportionality k is 15.