Question

If a varies directly with x squared, and a = 8 when x = 4 find the constant variation of k

Answer 1

k = 0.5

Explanation:

Given a varies directly with x² then the equation relating them is

a = kx² ( k is the constant of variation )

To find k use the condition a = 8 when x = 4 , then

8 = k × 4² = 16k ( divide both sides by 16 )

0.5 = k