Final answer:
The constant of proportionality between meters and centimeters is 100. You can use the conversion factor of 100 cm/1 m to convert between meters and centimeters. Setting up a proportion and cross-multiplying can also help you find the constant of proportionality.
Step-by-step explanation:
To find the constant of proportionality between meters and centimeters, we can use the conversion factor. The conversion factor is the ratio of equivalent measurements, which is 1 meter per 100 centimeters. This means that there are 100 centimeters in every meter.
For example:
- If we have 3.55 meters, we can multiply it by the conversion factor to find the equivalent in centimeters: 3.55 m × 100 cm/1 m = 355 cm
- If we have 0.75 meters, we can multiply it by the conversion factor to find the equivalent in centimeters: 0.75 m × 100 cm/1 m = 75 cm
By setting up a proportion and cross-multiplying, we can also find the constant of proportionality:
- If we have a scale measurement of 3.2 meters and a scale of 1 cm = 0.5 m, we can solve for the actual measurement in centimeters: 100 cm/1 m = x cm/3.2 m → x = 100 × 3.2