College

We appreciate your visit to The number of kilograms of water in a human body varies directly as the mass of the body A 90 kg person contains 60 kg. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The number of kilograms of water in a human body varies directly as the mass of the body. A 90 kg person contains 60 kg of water. How many kilograms of water are in a 126 kg person?

Answer :

Final answer:

To calculate the amount of water in a 126 kg person, we use the ratio 60 kg/90 kg from the 90 kg person as the proportional constant. Then, we apply the constant (2/3) to the 126 kg person's weight, resulting in 84 kg of water.

Explanation:

The question pertains to direct proportionality in the context of body water content and the mass of a human body. Given that a 90 kg person contains 60 kg of water, we are to find out how much water is in a 126 kg person. We use the concept of direct proportion where if two values are directly proportional, as one increases, the other does as well at a constant rate.

First, we determine the proportionality constant, k, by using the information given:

  1. The formula for direct proportion is y = kx, where y is the amount of water, and x is the mass of the person.
  2. We can find k by plugging in the values from the 90 kg person: 60 kg = k × 90 kg. Therefore, k = 60 kg / 90 kg = 2/3.
  3. Now we use k to find the amount of water in a 126 kg person: y = (2/3) × 126 kg.
  4. After calculating, we find y = 84 kg of water in a 126 kg person.

Thanks for taking the time to read The number of kilograms of water in a human body varies directly as the mass of the body A 90 kg person contains 60 kg. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada