Q:

The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation y=1760m. Is there a proportional relationship between a measurement in yards and a measurement in miles for the same distance? Explain why or why not

Accepted Solution

A:
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)