Question

l varies directly as m and l is equal to 5 when m =2/3.find l when m=16/3.

Answer 1

m varies directly with I
then,m=kI
when m=2/3 then I =5
2/3=5k
k=2/15

now,when m=16/3
16/3=(2/15)I
I=40
hope you'll like it

Answer 2

Given: l varies directly as m and l are equal to 5 when m =2/3.

To find: We have to find the value l when m is 16/3.

Solution:

To determine the value of l for m equal to 16/3 we have to follow the below steps as follows-

l varies directly with m so, we can write-

l=km

Where k is the proportionality constant.

Putting the value of l=5 and m=2/3 we get-

$5 = \frac{2}{3} \times k \\ k = \frac{15}{2}$

The value of k is 15/2.

Now the value of m is 16/3.

Thus, the value of l will be-

$l = \frac{15}{2} \times \frac{16}{3} \\ l = 5 \times 8 \\ l = 40$

Thus, the value of l is 40.