Question

The US Census Bureau takes a census every 10 years. The population in 2000 was estimated at 281.4 million people. A model created at the time predicted that the population grew at about 2% per year. How many people would the Census Bureau have expected to count in the 2010 census?

Answer 1

People expected to be counted in the 2010 census would be 343 million.

Explanation:

Given:

The US Census Bureau which takes a census every 10 years.

Initial population,
`P_o` = 281.4 million

Growth rate,
`r` = 2% = 0.02

Time given,
`t` = 10 years

Formula to be used:

⇒
`P=P_oe^r^t`

Expected population, P :

⇒
`P=P_oe^r^t`

⇒ Plugging the values.

⇒
`P=281.4e^0^.^0^2^* ^1^0`

⇒
`P=343.7` million

People expected to be counted in the 2010 census, by the Census Bureau would be 343 million.