the value of y varies inversely with x, and y = 12 when x = 5. what is y when x = 4? y = ? remember: y =…
the value of y varies inversely with x, and y = 12 when x = 5. what is y when x = 4? y = ? remember: y = \\frac{k}{x}
Answer
Explanation:
Step1: Find the constant of variation k.
Since $y=\frac{k}{x}$ and $y = 12$ when $x = 5$, we substitute these values into the equation: $12=\frac{k}{5}$. Then $k=12\times5 = 60$.
Step2: Find y when x = 4.
Substitute $k = 60$ and $x = 4$ into $y=\frac{k}{x}$. So $y=\frac{60}{4}=15$.
Answer:
15