Question

Write an equation describing the relationship of the given variables. If you need to type an exponent use the "^" key (shift+6) to indicate the power. For example, x squared (x times x) can be typed as x^2. One term will go within each submission box.y varies inversely as x and when x=4, y=2.The equation is y= \frac{numerator}{denominator} The numerator is:AnswerThe denominator is:Answer

Answer 1

Given that y varies inversely as x, then they follow the next formula:

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

where k is some constant.

Substituting with x = 4, and y = 2, and solving for k:

$\begin{gathered} 2=\frac{k}{4} \\ 2\cdot4=k \\ 8=k \end{gathered}$

Substituting k = 8 into the general formula, the equation describing the relationship between x and y is:

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