Question

Suppose y varies directly as x , and y=−319 when x = 29. Based on this information, write a direct variation equation that relates x and y .

Answer 1

Answer:

$y = - 11x$

Step-by-step explanation:

If y varies directly as x, then we can write the relation

$y = kx$

where k is the constant of proportionality.

We substitute y=-319 when x=29.

$- 319 = 29k$

This implies that:

$k = \frac{ - 319}{29}$

$k = - 11$

The variation equation now becomes

$y = - 11x$