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

c =

Step-by-step explanation:

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

c = ← k is the constant of variation

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

33 = ( multiply both sides by 6 )

198 = 22k ( divide both sides by 22 )

9 = k , thus

c = ← equation of variation

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

boxplot