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

The constant of proportionality \( k \) in a proportional relationship \( y = kx \) (here \( y \) is centimeters and \( x \) is meters).

Step2: Interpret the value of the constant

If \( y \) (centimeters) and \( x \) (meters) are related by \( y=kx \), and \( k = 100 \), then for every \( 1 \) meter (\( x = 1 \)), \( y=100\times1\).

Answer:

There are 100 centimeters for every meter.