Question

Describe the graph showing the relationship between the weight of something in kilograms and its weight in pounds. Use the conversion factor 1 kilogram is approximately 2.2 pound

Answer 1

Answer:

• Using the y-axis to represent pounds, and the x-axis to represent kilograms, the graph is straight line going through the origin with a slope of 2.2 lbs/kg.

Explanation:

A constant conversion factor, such as 1 kg 2.2 lb, means that the two units are in direct proportion; thus the graph is a straight line that goes through the origin.

The conversion factor also gives the slope of the line.

Depending on which axis you choose for either unit the slope may be 2.2 pounds per kilogram, or 1/2.2 kilogram per pound.

When you use the y-axis for pounds and the x-axis for kilograms then the relationship is:

• y = 2.2 x

In that case, the slope is 2.2 pounds per kilogram.