If A varies directly as b and A=6, when b=1/3, find the equation that relates A and b.

Question

asked Nov 19, 2021 200k views

2 Answers

Shaba · Answer 1 · 2021-11-21T12:38:15+0000

Answer:

a = 18b

Explanation:

Given that a varies directly as b then the equation relating them is

a = kb ← k is the constant of variation

To find k use the condition that a = 6 when b =
(1)/(3) , thus

k =
(a)/(b) =
(6)/((1)/(3) ) = 18

a = 18b ← equation of variation