Question

if x varies directly at I and x=6 when I=2.what is the relationship between x and i. what is the value of I when x = 15​

Answer 1

The equation will be x=3l and the value of l is 5 when x=15

Explanation:

Proportion is defined as the change in one quantity cause change in other quantity.

Writing x varies directly at l

x∝l

Removing the proportionality symbol introduces a constant of proportionality

`x=kl`

x=6 when I=2, Putting values

`6 = k(2)\\k = (6)/(2)\\k = 3`

The equation will become

`x = 3l`

Now to find the value of l when x=15, putting x=15 in equation

`15 = 3l\\(15)/(3) = (3l)/(3)\\l =5`

Hence,

The equation will be x=3l and the value of l is 5 when x=15