Final answer:
Given the approximation of 0.45 kilograms per pound, the correct equations to relate mass in kilograms (x) to the same mass in pounds (y) from the provided options are B. x=0.45y and C. y=2.2x. Options A and D are incorrect because they do not reflect the proper conversion rate between kilograms and pounds.
Step-by-step explanation:
To relate mass measured in kilograms to the same mass measured in pounds, we use the conversion factor of approximately 0.45 kilograms per pound. Therefore, to convert kilograms to pounds, we divide the number of kilograms by 0.45. Conversely, to convert pounds to kilograms, we multiply the number of pounds by 0.45.
The correct equation from the options provided that relates a mass measured in kilograms (x) to the same mass measured in pounds (y) is:
- B. x=0.45y: This equation translates a mass in pounds (y) into kilograms (x). However, to be precise, it should reflect that 1 pound is equal to 0.4536 kilograms, but the approximation of 0.45 is often accepted for simpler calculations.
- C. y=2.2x: This equation translates a mass in kilograms (x) to the same mass in pounds (y). It is roughly accurate since 1 kilogram is approximately equal to 2.2 pounds.
Therefore, the two equations that correctly relate a mass measured in kilograms to the same mass measured in pounds, given the approximation provided in the question, are options B and C.
Option D. y=0.45x is incorrect because it would imply that 1 kilogram is equal to 0.45 pounds, which is not the proper conversion. Option A. y = 10.45x is also incorrect as it significantly overestimates the conversion value and does not represent a correct relationship between kilograms and pounds.