if y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when…

if y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?\n$y = \\frac{5}{18}(11)$\n$y = \\frac{18}{5}(11)$\n$y = \\frac{(18)(5)}{11}$\n$y = \\frac{11}{(18)(5)}$

if y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?\n$y = \\frac{5}{18}(11)$\n$y = \\frac{18}{5}(11)$\n$y = \\frac{(18)(5)}{11}$\n$y = \\frac{11}{(18)(5)}$

Answer

Explanation:

Step1: Write direct - variation formula

The formula for direct variation is $y = kx$, where $k$ is the constant of variation. We know that when $y = 18$ and $x = 5$, we can find $k$ by substituting these values into the formula: $18=k\times5$, so $k=\frac{18}{5}$.

Step2: Find $y$ when $x = 11$

Substitute $k=\frac{18}{5}$ and $x = 11$ into the formula $y = kx$. We get $y=\frac{18}{5}(11)$.

Answer:

$y=\frac{18}{5}(11)$ (the second option)