PurpleDragon90
PurpleDragon90 PurpleDragon90
  • 08-10-2018
  • Mathematics
contestada

If f(x) varies directly with x and f(x)=40 when x=8, find the value of f(x) when x=2.


A. 2
B. 5
C. 10
D. 15

Respuesta :

fruitbabymarrie
fruitbabymarrie fruitbabymarrie
  • 08-10-2018

f(x)=40

x=8

so if x=2 it would be 40/8 which is 5

Answer Link
jimrgrant1 jimrgrant1
  • 08-10-2018

C

since the quantities vary directly then

x = kf(x) ( where k is the constant of variation )

to find k use the given condition , f(x) = 40 when x = 2

k = [tex]\frac{x}{f(x)}[/tex] = [tex]\frac{8}{40}[/tex] = [tex]\frac{1}{5}[/tex]

thus x = [tex]\frac{1}{5}[/tex]f(x)

when x = 2

f(x) = [tex]\frac{x}{k}[/tex] = [tex]\frac{2}{\frac{1}{5} }[/tex] = 10


Answer Link

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