Respuesta :

Answer:

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

Step-by-step 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

[tex]x=kl[/tex]

x=6 when I=2, Putting values

[tex]6 = k(2)\\k = \frac{6}{2}\\k = 3[/tex]

The equation will become

[tex]x = 3l[/tex]

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

[tex]15 = 3l\\\frac{15}{3} = \frac{3l}{3}\\l =5[/tex]

Hence,

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