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if y varies directly with x and y is 12 when x is 9 what is x when y is 4

Sagot :

Answer:

X is 3 when Y is 4.

So, the required value  [tex]x[/tex] is 3.

Proportional:

Properly related in size, degree, or other measurable characteristics; corresponding: Punishment ought to be proportional to the crime. 3. Mathematics Having the same or a constant ratio.

The first part is  y varies directly with x then,

[tex]y \propto x\\y=kx[/tex]... (1) where k is proportional constant

Now, substituting [tex]y=12, x=9[/tex] in equation (1) we get,

[tex]12=9k\\k=\frac{4}{3}[/tex]

Substituting [tex]k=\frac{4}{3}[/tex] in equation (1) with [tex]y=4[/tex] then,

[tex]4=(\frac{4}{3})x\\ x=3[/tex]

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