Question

If y varies directly as x and y =2 when x = 10, find y when x = 22 ? Step by step work please

Answer 1

Answer: $k=-\frac{1}{9}$

Step-by-step explanation:

1. You kwnow that x and y vary directly, therefore, the expression has the following form:

$y=kx$

Where $k$ is the constant of variation.

2. You have that $x=6$ and $y=-\frac{2}{3}$, so, if you substitute these values and then you solve for the constant of variation, you obtain the following result:

$k=\frac{y}{x}\\k=\frac{-\frac{2}{3}}{6}\\k=-\frac{1}{9}$

3. The answer is the first option.