the value of y varies inversely with x, and y = 44 when x = 2. what is y when x = -11? y = ? remember: y =…
the value of y varies inversely with x, and y = 44 when x = 2. what is y when x = -11? y = ? remember: y = \\frac{k}{x}
Answer
Explanation:
Step1: Find the constant k.
Since $y=\frac{k}{x}$, when $y = 44$ and $x = 2$, we substitute these values into the formula: $44=\frac{k}{2}$, then $k=44\times2 = 88$.
Step2: Find y when x=-11.
Substitute $k = 88$ and $x=-11$ into $y=\frac{k}{x}$, we get $y=\frac{88}{-11}=-8$.
Answer:
$-8$