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

Answer 1

Abigail Allen

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

#d=kt#,

where #k# is a constant.

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

#329=kcdot 7#

by dividing by #7#,

#=> k=329/7=47#.

Hence, the direct variation equation is

#d=47t#.

I hope that this was helpful.

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Answer 2

Isaiah Anthony

To find the direct variation equation when d varies directly as t, you use the formula:

d = kt

Given that when t = 7, d = 329, you can substitute these values into the equation and solve for 'k':

329 = k * 7

Solve for 'k':

k = 329 / 7 k ≈ 47

Therefore, the direct variation equation is:

d = 47t

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Answer from HIX Tutor

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