joycetleiji1
joycetleiji1 joycetleiji1
  • 17-10-2018
  • Mathematics
contestada

Suppose f(x) varies directly with x and f(x) = 24 when x = 2.
What is the value of f(x) when x = 6?

1/12
1/2
48
72

Respuesta :

tramserran
tramserran tramserran
  • 17-10-2018

Answer: D

Step-by-step explanation:

varies directly means [tex]\frac{f(x)}{x} = k[/tex]

Solve for k: [tex]\frac{f(x)}{x} = k[/tex]

                   [tex]\frac{24}{2} = k[/tex]

                     12 = k

Next, input the k-value above and solve for f(x):

[tex]\frac{f(x)}{x} = k[/tex]

[tex]\frac{f(x)}{6} = 12[/tex]

[tex](6)\frac{f(x)}{6} = 12(6)[/tex]

f(x) = 72

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