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If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?

Respuesta :

1Jr
It is y= 8x As given, y varies directly as x and y is 48 when x is 6. So from the equation we can justify it. When x=6 y= 8(6) = 48 Now, if x=2 y = 8(2) y = 16

Answer:

y is 16

Step-by-step explanation:

If y varies directly as x, and y is 48 when x is 6,  find the value of y when x is 2

When y varies directly as x  then [tex]y=kx[/tex]

where k is the constant of proportionality

y is 48 when x is 6, plug in the value and find out k

[tex]y=kx[/tex]

[tex]48=k(6)[/tex]

Divide both sides by 6

[tex]k=8[/tex]

The equation y=kx becomes

[tex]y=8x[/tex]

find the value of y when x is 2

[tex]y=8(2)= 16[/tex]

So the value of y is 16