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spin [16.1K]
4 years ago
5

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]4 years ago
6 0

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]4 years ago
3 0

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)

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Given:

In the Stone Ridge apartment complex 35% of the apartments have one bedroom.

If there are 49 one bedroom apartments.

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<u>Let total number of apartments at Stone ridge</u> = x

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By cross multiplication:

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By dividing both sides by 35

\frac{35x}{35} = \frac{4900}{35} \\x = 140

Therefore, total number of apartments at Stone ridge is 140

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