If y varies directly as x, find a linear function which relates them.
-$$y = 3.6 \text { when } x = 0.9$$
A) $f ( x ) = 4 x$
B) $f ( x ) = 0.25 x$
C) $f ( x ) = x + 2.7$
D) $f ( x ) = 0.9 x$

Question

Quizplus · Accepted Answer

Since y varies directly as x, the relationship can be expressed as $y = kx$, where $k$ is the constant of variation. Given $y = 3.6$ when $x = 0.9$, we find $k$ by solving $3.6 = k(0.9)$, which gives $k = 4$. Therefore, the linear function is $f(x) = 4x$.

If Y Varies Directly as X, Find a Linear Function y=3.6 when x=0.9y = 3.6 \text { when } x = 0.9y=3.6 when x=0.9

If Y Varies Directly as X, Find a Linear Function $y = 3.6 \text { when } x = 0.9$