Answer:
The expression that can be used to find the value of [tex]y[/tex] when [tex]x[/tex] is 2 is [tex]y = 8\cdot x[/tex]
([tex]x = 2[/tex])
[tex]y = 8\cdot (2)[/tex]
[tex]y = 16[/tex]
Step-by-step explanation:
As we know that [tex]y[/tex] varies directly as [tex]x[/tex]. The following expression is done:
[tex]y \propto x[/tex]
[tex]y = k\cdot x[/tex]
Where [tex]k[/tex] is the proportionality constant.
If we know that [tex]x = 6[/tex] and [tex]y = 48[/tex], the proportionality constant is:
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{48}{6}[/tex]
[tex]k = 8[/tex]
The expression that can be used to find the value of [tex]y[/tex] when [tex]x[/tex] is 2 is [tex]y = 8\cdot x[/tex]
([tex]x = 2[/tex])
[tex]y = 8\cdot (2)[/tex]
[tex]y = 16[/tex]
