(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с

c = 48

Step-by-step explanation:

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

c = ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

= k

= k

c = ← equation of variation

When a = 36 and b = 25 , then

c = = = 48

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