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?

Respuesta :

Answer:

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

Step-by-step explanation:

Given:

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

Initial population, [tex]P_o[/tex] = 281.4 million

Growth rate, [tex]r[/tex] = 2% = 0.02

Time given, [tex]t[/tex] = 10 years

Formula to be used:

⇒ [tex]P=P_oe^r^t[/tex]

Expected population, P :

⇒ [tex]P=P_oe^r^t[/tex]

⇒ Plugging the values.

⇒ [tex]P=281.4e^0^.^0^2^\times ^1^0[/tex]

⇒ [tex]P=343.7[/tex] million

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