contestada

n 2010, the estimated population of New York City was 8.18 × 106 people. The population of the entire state that same year was about 2.37 times this number. Which expression shows the approximate population of the state of New York in 2010?

Respuesta :

The answer is 1.94 times 10 to the seventh power
LucianoBordoli

Answer:

The expression [tex](1.94).10^{7}[/tex] shows the approximate population of New York in 2010.

Step-by-step explanation:

  • We know that in 2010 the estimated population of New York City was [tex](8.18).10^{6}[/tex] people.
  • The population of the entire state that same year was about 2.37 times this number.

If we want to find an expression that shows the approximate population of the state of New York in 2010 we need to multiply 2.37 by the estimated population of New York City in 2010.

  • This expression is : [tex](2.37).(8.18).10^{6}[/tex] (II)
  • Now [tex](2.37).(8.18)=19.3866[/tex] (I)
  • If we replace (I) in (II) : [tex](19.3866).10^{6}=(1.93866).10^{7}[/tex]

We can round the number ''1.93866'' to work with just two decimal digits (as the data was given):

1.93866 ≅ 1.94

Finally, the expression that shows the approximate population of the state of New York in 2010 is : [tex](1.94).10^{7}[/tex]