Question

what does the constant of proportionality of 100 mean? the constant of proportionality is 100. the constant of proportionality of 100 means that there are 100 centimeters for every meter 100 meters for every centimeter

Explanation:

Step1: Understand the relationship between meters and centimeters

In the context of unit conversion, when we talk about a constant of proportionality between meters and centimeters, it means the multiplier that converts meters to centimeters.

Step2: Analyze the given example

Looking at the table, when the number of meters is \(2\), the number of centimeters is \(12\times100 = 1200\). In general, if \(y\) is the number of centimeters and \(x\) is the number of meters, the formula is \(y=kx\) (where \(k\) is the constant of proportionality). Since \(1\) meter \( = 100\) centimeters, if \(x = 1\), then \(y=100\). So the constant of proportionality \(k\) represents the number of centimeters per meter.

Answer:

The constant of proportionality of 100 means that there are 100 centimeters for every meter.