Q:

Complete the table for the given rule. Rule: y=X/4(fraction)TableX Y 4 2 9What would X be i am really confused here does the fraction mean divide the numbers or something else

Accepted Solution

A:
Answer:[tex]\large\huge\boxed{\begin{array}{c|c}x&y\\\\4&1\\\\2&\frac{1}{2}\\\\9&\frac{9}{2}\end{array}}[/tex]Step-by-step explanation:[tex]y=\dfrac{x}{4}[/tex]Put the values of x from the table to the equation:[tex]x=4\to y=\dfrac{4}{4}=1\\\\x=2\to y=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}\\\\x=9\to y=\dfrac{9}{4}[/tex]From the comment.Convert the equation:[tex]y=\dfrac{x}{4}[/tex]    multiply both sides by 4[tex]4y=x\to x=4y[/tex]Put the values of y from the table to the equation:[tex]y=4\to x=(4)(4)=16\\\\y=2\to x=(4)(2)=8\\\\y=9\to x=(4)(9)=36[/tex][tex]\large\huge\boxed{\begin{array}{c|c}x&y\\\\16&4\\\\8&2\\\\36&9\end{array}}[/tex]