In 1997, the U.S. population was approximately 266,572,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were in the system? (Round answer to the whole number.)

Question

In 1997, the U.S. population was approximately 266,572,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were in the system? (Round answer to the whole number.)

prisoners

Answer 1

440/100,000 = 0.00529

266,572,000 * 0.00529 = ?

Answer 2

To find out the number of prisoners in the system, we need to calculate the rate of prisoners per population and then multiply it by the total population.

First, we need to calculate the rate of prisoners per 100,000 population. In this case, the rate given is 440 prisoners per 100,000 population.

To calculate the rate, we can set up a proportion:

440 prisoners / 100,000 population = X prisoners / 266,572,000 population

Cross-multiplying the proportion:
440 * 266,572,000 = 100,000 * X

Simplifying the equation:
116,928,080,000 = 100,000X

Now, let's solve for X (the number of prisoners):
X = 116,928,080,000 / 100,000

Calculating the division:
X ≈ 1,169,280.8

However, we need to round the result to the nearest whole number, as instructed in the question. Therefore, the approximate number of prisoners in the system is 1,169,281.