Question

H varies directly as L. If H = 30 when L=60, determine H when L= 40.

a) Write the variation equation.
b) Determine the value of the quantity indicated.
a) Choose the correct answer below.
O A. H=L
k.
O B. L=
H
O C. H=kL
w
k k
OD. H=*
b) H= |(Type an integer or a decimal.)

Answer 1

i) The variation equation H = k L

ii) The value of H = 20

iii) C) H = k L

Explanation:

Step(i):-

Given that H varies directly as L

H ∝ L

H = k L

Given that H =30 and L = 60

⇒ 30 = k (60)

`k = (30)/(60) = (1)/(2)`

Step(ii):-

Given that L = 40

The variation of the equation = H = k L ...(i)

put L = 40 in equation (i)

`H = (1)/(2) X 40 = 20`