buchanan911jb16
buchanan911jb16 buchanan911jb16
  • 15-02-2017
  • Mathematics
contestada

If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation? A) 1/5 B) 4/5 C) 5 D) 16

Respuesta :

sheheryar91
sheheryar91 sheheryar91
  • 15-02-2017
y=kx
20=k*4
k=5
so option c
Answer Link
carlos2112
carlos2112 carlos2112
  • 18-11-2019

Answer:

C) 5

Step-by-step explanation:

The problem tell us that y is directly proportional to x, so we can represent this mathematically by:

[tex]y=c*x[/tex]

Where:

[tex]c=Proportionality\hspace{3}constant[/tex]

If we evaluate the data provided by the problem, then:

[tex]20=c*4[/tex]

Solving for c, dividing both sides by 4:

[tex]\frac{20}{4} =c*\frac{4}{4} \\5=c*1\\5=c[/tex]

Hence, the proportionality constant or the constant of variation is 5

Answer Link

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