Answered

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T3) The value of y varies directly with x, and y =6 when x =18 Find y when x = 12

Sagot :

If y varies directly with x means that there is going to be a constant of proportionality between them in the form

[tex]y=kx[/tex]

use the data of y=6 when x=18 to find the constant of proportionality

[tex]\begin{gathered} 6=k\cdot18 \\ k=\frac{6}{18} \\ k=\frac{1}{3} \end{gathered}[/tex]

use k to find the value of y when x=12

[tex]\begin{gathered} y=\frac{1}{3}(12) \\ y=4 \end{gathered}[/tex]

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