If y varies directly as x, find a linear function which relates them.
-$$y = 5 \text { when } x = 40$$
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 relationship between $y$ and $x$ in direct variation can be expressed as $y = kx$, where $k$ is the constant of variation. Given $y = 5$ when $x = 40$, we find $k$ by solving $5 = k \cdot 40$, which gives $k = \frac{5}{40} = \frac{1}{8}$. Therefore, the linear function is $y = \frac{x}{8}$, which matches choice A.

If Y Varies Directly as X, Find a Linear Function y=5 when x=40y = 5 \text { when } x = 40y=5 when x=40

If Y Varies Directly as X, Find a Linear Function $y = 5 \text { when } x = 40$