Question

Q3) If B is directly proportional to A and B = 3 when A = 18, find the value of B when A = 24.

Answer 1

B = 4

Explanation:

Given that B is directly proportional to A then the equation relating them is

B = kA ← k is the constant of proportionality

To find k use the condition B = 3 when A = 18 , then

3 = 18k ( divide both sides by 18 )

k =
`(3)/(18)` =
`(1)/(6)`

B =
`(1)/(6)` A ← equation of proportion

When A = 24, then

B =
`(1)/(6)` × 24 = 4