a direct variation function contains the points (2, 14) and (4, 28). which equation represents the…

a direct variation function contains the points (2, 14) and (4, 28). which equation represents the function?\n$y = \\frac{x}{14}$\n$y = \\frac{x}{7}$\n$y = 7x$\n$y = 14x$

a direct variation function contains the points (2, 14) and (4, 28). which equation represents the function?\n$y = \\frac{x}{14}$\n$y = \\frac{x}{7}$\n$y = 7x$\n$y = 14x$

Answer

Explanation:

Step1: Recall direct - variation formula

The formula for a direct - variation function is $y = kx$, where $k$ is the constant of variation.

Step2: Find the value of $k$

We can use the point $(x,y)=(2,14)$. Substitute into $y = kx$: $14=k\times2$. Solving for $k$, we get $k=\frac{14}{2}=7$.

Step3: Write the equation

The equation of the direct - variation function is $y = 7x$.

Answer:

C. $y = 7x$