if y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when…

if y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?\n$y = \\frac{48}{6}(2)$\n$y = \\frac{6}{48}(2)$\n$y = \\frac{(48)(6)}{2}$\n$y = \\frac{2}{(48)(6)}$

if y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?\n$y = \\frac{48}{6}(2)$\n$y = \\frac{6}{48}(2)$\n$y = \\frac{(48)(6)}{2}$\n$y = \\frac{2}{(48)(6)}$

Answer

Explanation:

Step1: Encontrar la constante de proporcionalidad

Como $y$ varía directamente con $x$, la relación es $y = kx$. Dado que $y = 48$ cuando $x = 6$, entonces $k=\frac{y}{x}=\frac{48}{6}$.

Step2: Encontrar $y$ para $x = 2$

Sustituyendo $k=\frac{48}{6}$ en $y = kx$ con $x = 2$, obtenemos $y=\frac{48}{6}(2)$.

Answer:

$y=\frac{48}{6}(2)$