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In this problem they are telling us the distance the

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object travels in outer space is varies directly with

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the amount of time it travels. I guess you are talking

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about a specific object.

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You think of it in terms of constants of proportionality

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you can say that the distance = some constant (k) x t

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t= time it travels for this particular object.

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if an asteroid travels 3000 miles in 6 hours

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what is the constant of variation

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So the distance is 3000; d = 3000 miles

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3000 = (k) x 6 hours.

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So to solve for constant divide both sides by 6hours

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so 3000 / 6 = 500 and 6/6 = 1

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So the constant of proportionality is 500miles/hour