If y varies directly as x, find a linear function which relates them.
-$y = 5$ when $x = 40$
A) $f ( x ) = \frac { x } { 8 }$
B) $f ( x ) = x + 35$
C) $f ( x ) = \frac { x } { 5 }$
D) $f ( x ) = 8 x$

Question

Quizplus · Accepted Answer

The direct variation between y and x can be represented as $y = kx$, where $k$ is the constant of variation. Given $y = 5$ when $x = 40$, we find $k = \frac{5}{40} = \frac{1}{8}$. Thus, the linear function is $f(x) = \frac{x}{8}$.

If Y Varies Directly as X, Find a Linear Function y=5y = 5y=5

If Y Varies Directly as X, Find a Linear Function $y = 5$