The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation y=1760m. Is the

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4 years ago

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The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation y=1760m. Is the

re a proportional relationship between a measurement in yards and a measurement in miles for the same distance? Explain why or why not

Mathematics

2 answers:

miss Akunina [59] · Answer 1 · 2021-12-29T06:04:52+03:00

Answer:

y ∝ m and 1760 is a constant of proportionality.

Step-by-step explanation:

The relation between a distance in the yards (y) and the same distance in miles (m) is described by the equation y = 1760m.

So, the graph of the above equation passes through the origin(0,0) and it will be a straight line with a constant slope of 1760.

Therefore, a measurement in yards and a measurement in miles are in the relation of proportionality for the same distance.

Hence, y ∝ m and 1760 is a constant of proportionality. (Answer)

mezya [45] · Answer 2 · 2021-12-29T07:14:10+03:00

Answer:

Yes. There exist a direct proportionality, since a change in one variable leads to a direct change in the other variable and exist a constant ratio between them.

Step-by-step explanation:

The condition of direct proportionality mean the existence of the following relationship:

$y \propto m$

$y = k\cdot m$

Where k is a constant of proportionality, the suggested formula observes every characteristic of the direct proportionality. (k = 1760)