Question

H varies directly as L.If H =12 when L=40Determine H when L =10.

Answer 1

Proportionality

If two magnitudes H and L have a directly proportional relationship, then:

H = kL

Where k is the constant of proportionality

We are given when H=12, L=40. Substituting in the formula:

12 = k*40

We can find the value of k:

k = 12/40

Simplifying:

k = 3/10

Substituting in the original equation:

H = 3/10 L

We can determine the value of H when L=10:

H = 3/10 *10

H = 3