he volume of blood in a​ person's body is proportional to body weight. A person who weighs 130 pounds has approximately 4 quarts of blood. Estimate the number of quarts of blood in a person who weighs 150 pounds.

Question

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Part 1
Complete the​ proportion, where the ratios have volumes of blood in the numerators and body weights in the denominators.
x
equals
  
4
  
150
  
130
​(Do not​ simplify.)
Part 2
There are approximately
  
140 quarts of blood in a person who weighs 150 pounds.
​(Round to two decimal places as​ needed.)

Answer 1

To solve this problem, we need to use the concept of proportions. We have the following information:

1. A person who weighs 130 pounds has 4 quarts of blood.
2. We want to find the volume of blood (x) in quarts for a person who weighs 150 pounds.

Part 1: Setting up the proportion

We can set up the proportion as follows:

\[ \frac{x}{150} = \frac{4}{130} \]

Part 2: Solving for x

To find x, we can cross-multiply:

\[ x \cdot 130 = 4 \cdot 150 \]

Calculating \(4 \cdot 150\):

\[ 4 \cdot 150 = 600 \]

So, we have:

\[ 130x = 600 \]

Now, solving for x by dividing both sides by 130:

\[ x = \frac{600}{130} \]

Calculating \( \frac{600}{130} \):

\[ x = 4.615384615384615 \]

Rounding to two decimal places:

\[ x \approx 4.62 \]

So, there are approximately 4.62 quarts of blood in a person who weighs 150 pounds.

In conclusion, the answers are:

• Part 1: \( \frac{x}{150} = \frac{4}{130} \)
• Part 2: There are approximately 4.62 quarts of blood in a person who weighs 150 pounds (rounded to two decimal places).