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If x varies inversely as t, and x = 8 when t = 6, find t when x = 12-
=

Sagot :

Answer:

t = 4

Step-by-step explanation:

given x varies inversely as t , then the equation relating them is

x = [tex]\frac{k}{t}[/tex]  ← k is the constant of variation

To find k use the condition x = 8 when t = 6 , then

8 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )

48 = k

x = [tex]\frac{48}{t}[/tex] ← equation of variation

when x = 12 , then

12 = [tex]\frac{48}{t}[/tex] ( multiply both sides by t )

12t = 48 ( divide both sides by 12 )

t = 4

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