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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?

Verified Answer :

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 \(y=kx\)

where k is the constant of proportionality

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

\(y=kx\)

\(48=k(6)\)

Divide both sides by 6

\(k=8\)

The equation y=kx becomes

\(y=8x\)

find the value of y when x is 2

\(y=8(2)= 16\)

So the value of y is 16

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