How do you find the direct variation equation if d varies directly as t when $t = 7$ $t=7$ , $d = 329$ $d=329$ ?

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Answer 1 · 2014-11-05T10:35:11

Since $d$ $d$ varies directly as $t$ $t$ , we have

$d = k t$ $d=kt$ ,

where $k$ $k$ is a constant.

By plugging $t = 7$ $t=7$ and $d = 329$ $d=329$ into the above equation,

$329 = k \cdot 7$ $329=kcdot 7$

by dividing by $7$ $7$ ,

$\Rightarrow k = \frac{329}{7} = 47$ $=> k=329/7=47$ .

Hence, the direct variation equation is

$d = 47 t$ $d=47t$ .

I hope that this was helpful.

How do you find the direct variation equation if d varies directly as t when t=7t=7t=7, d=329d=329d=329?