Question

H varies directly as L. H=18 when L=60, determine H when L=20

Answer 1

H varies directly as L.

H=KL.

18=K60.

K=18/60=0.3.

H=0.3L

when H=?,L=20. then.

H=0.3×20=6.

Answer 2

6

Explanation:

H is proportionate to L, meaning that they can be represented as a ratio,
`(h)/(l)`.

`(18)/(60)`

If we know that L in the same ratio is 20, we can set these ratio's equal to each other to find H.

`(18)/(60) = (x)/(20)`.

To find x, we can cross multiply.

`20\cdot18=360\\\\360/60=6`

So
`x=6`, meaning that when
`L=20`,
`H=6`.

Hope this helped!