Question

What is the function/equation for the input/output table? xy 324 243 202.5 162options:y = 8 - xy = 8 xy = x - 1y = x\8

Answer 1

ANSWER

$y=\frac{x}{8}$

EXPLANATION

We want to find the equation of the input/output table.

Notice from the table that each value of y is smaller than each value of x by a multiplicative factor. This implies that x and y have a proportional relationship:

$y=kx$

where k = constant of proportionality

To find the constant of proportionality, substitute a pair of x and y values from the table into the equation.

Let us use (24, 3):

$\begin{gathered} 3=k*24 \\ \\ k=\frac{3}{24} \\ \\ k=\frac{1}{8} \end{gathered}$

Therefore, the equation for the table is:

$\begin{gathered} y=\frac{1}{8}*x \\ \\ y=\frac{x}{8} \end{gathered}$

That is the correct answer.