Identify as a direct variation, inverse variation or neither. The number of tons of coal burned by an old coal burning locomotive under given conditions varies as the number of hours.

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24-05-2018
Mathematics

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Identify as a direct variation, inverse variation or neither. The number of tons of coal burned by an old coal burning locomotive under given conditions varies as the number of hours.

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Edufirst Edufirst · Answer 1 · 2018-05-24T23:59:07+02:00

Answer: it is a direct variation.

Justification:

In a direct variation the variables are related by a proportionality constant in this way:

y = k x

Tthan means that the value of y is always the product of a constant times the value of x.

The situation discribed for the coal may be written as:
number of tons of coal burned: c

number of hours: h

⇒ c = k × h

Which is that you can calcualte the number of tons of coal burned at any time, once you know the proportionality constant k.