Question

In the above study, the investigators determined that a low concentration of DNP increased the average life span from 719 days (Control) to 770 days (DNP). If the U.S. population has an average life span of 79 years, then how many years would be added if the same percentage increase were observed?
Express your answer using two significant figures.

Answer 1

Answer:

Increase in average life span of U.S. in terms of years is $5.6$ years

Explanation:

The controlled  average life span is $719$ days

The DNP  average life span is $770$ days

Increase in the average life span is

$770 - 719\\= 51$ days

Rate of increase of average life span after using DNP

(Change in life span in day $/$ Base average life span) $* 100$

$= \frac{51}{719} * 100\\= 7.09$ %

It is given that the average life span of US people will also increase by the same rate, then the new average life span would be

Base average life span $+$ Increase in average life span

$= 79 + ((\frac{7.09}{100} ) * 79)\\= 84.60$

So the increase in average life span of U.S. in terms of years is $5.6$ years

Answer 2

Roughly 5.6 years would be added to the average lifespan of the U.S. population. The test's lifespan increased from 719 to 770, or by 1.071. Multiplying the average lifespan by this amount would equal 84.609.