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

Otras preguntas

How to solve 0.5(5-7x)=8-(4x+6)
I have to use elimination -6x-6y=6 12x+12y=-12
The sodium-potassium pump actually changes shape as it shuttles ions across the cell membrane. true or false?
Who among the following was convicted and sentenced to death for leaking bomb-making secrets to the communists? A.) Alger hiss B.) Richard Nixon C.) Julius and
Five sixth minus one third
How is Piet Mondrian's philosophy of art similar to the beliefs of ancient Greeks?
The sodium-potassium pump actually changes shape as it shuttles ions across the cell membrane. true or false?
How long does it take to do 278 joules of work with 17 watts ?
Roger Sherman helped construct the ???
Can some one help me with at least one question.... Shifts in Tense 1.Which sentence contains an inappropriate shift in tense? A. As soon as the alarm clock r