High School

In mammals, the weight of the heart is approximately 0.5% of the total body weight.

Write a linear model that gives the heart weight in terms of the total body weight.

Use the model to find:

a) The weight of the heart of a human whose weight is 151 lbs. Answer in units of lbs.

Please provide an explanation with your answer.

Answer :

To answer A you have to find 0.5% of 151 because the heart is 0.5% of total body weight. 151 x 0.5% = 0.755 lbs

Final answer:

The weight of the heart in mammals is around 0.5% of the total body weight. Thus, a linear model that represents this is H = 0.005*W. For a human weighing 151 lbs, the weight of the heart would be approximately 0.755 lbs.

Explanation:

The relationship between a mammal's total body weight and the weight of its heart can be represented using a linear model. If the weight of the heart is approximately 0.5% of the total body weight, we express this as a percentage in decimal form, i.e., 0.005. Therefore, if W represents the total body weight (in lbs) and H represents the heart weight (in lbs), then the linear model can be written as:

H = 0.005 * W ----(equation 1).

To find the weight of the heart of a human whose weight is 151 lbs, we substitute W=151 lbs into equation 1. The heart weight H will be:

H = 0.005 * 151 = 0.755 lbs.

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