Question

When a = 6 and b = 22, c = 33. If c varies directly with b and inversely with a which equation models the situation?

(ab) -4356
- 121

Answer 1

c =
`(9b)/(a)`

Explanation:

Given that c varies directly with b and inversely with a then the equation relating them is

c =
`(kb)/(a)` ← k is the constant of variation

To find k use the condition a = 6, b = 22, c = 33, that is

33 =
`(22k)/(6)` ( multiply both sides by 6 )

198 = 22k ( divide both sides by 22 )

9 = k , thus

c =
`(9b)/(a)` ← equation of variation

Answer 2

C. ca/b=9

Explanation:

Correct on Edge 2021!!!