Question

There are 15,737 licensed physicians in indiana. Assume that indianas population is approximately 6.6 million. Which of the following statements best represents the ratio of physicians to residents in indiana?

A) there are about 419 physicians per capita in indiana.
B) there are 2384 physicians per 100,000 residents in indiana.
C) there are about 238 physicians per 100,000 residents in indiana.
D) there are 15,373 physicians per capita in indiana.

Answer 1

Answer: C) there are about 238 physicians per 100,000 residents in Indiana.

Explanation:

Given: The number of physicians in Indiana = 15,737

The number of people in Indiana approximately= 6.6 million.

We know that 1 million = 1,000,000

Therefore, 6.6 million
`=6.6*1,000,000=6,600,000`

Now, the ratio of physicians to residents in Indiana is given by :-

`R=\frac{\text{physicians}}{\text{population}}\\\\\Rightarrow\ R=(15,737)/(6,600,000)\\\\\Rightarrow\ R=(15,737)/(66*100,000)\\\\\Rightarrow\ R =(238.439393)/(100,000)\approx(238)/(100,000)`

Hence, the ratio of physicians to residents in Indiana is represented by the statement "there are about 238 physicians per 100,000 residents in Indiana. "