The number of incarcerated adults N (measured in thousands) in a certain country can be approximated by the equation Upper N equals negative 2.7 x squared plus 72.4 x plus 1911, where x is the number of years since 2000. In 2013, the number of incarcerated adults peaked. How many adults were incarcerated in that year?

We have been given a formula that represented the number of incarcerated adults N (measured in thousands) in a certain country can be approximated by the equation [tex]N=2.7x^2+72.4x+1911[/tex] where x is the number of years since 2000.

To find the number of incarcerated adults in 2013, we will substitute [tex]x=13[/tex] [tex](2013-2000=13)[/tex] in the given equation.

[tex]N=2.7(13)^2+72.4(13)+1911[/tex]

[tex]N=2.7*169+941.2+1911[/tex]

[tex]N=456.3+941.2+1911[/tex]

[tex]N=3308.5[/tex]

Since the number of incarcerated adults N is measured in thousands, so the value of N would be:

[tex]3308.5\text{ thousands}=3308.5\times 1,000[/tex]

[tex]3308.5\text{ thousands}=3,308,500[/tex]

Therefore, 3,308,500 adults were incarcerated in 2013.

dsdrajlin dsdrajlin · Answer 2 · 2020-01-09T04:13:34+01:00

Answer:

2,396,000 adults were incarcerated in 2013.

Step-by-step explanation:

The number of incarcerated adults N (measured in thousands) in a certain country can be approximated by the equation

N = -2.7x² + 72.4x + 1911

where x is the number of years since 2000.

In 2013, x = 2013 - 2000 = 13, and the number of incarcerated adults was

N = -2.7(13)² + 72.4(13) + 1911

N = -456.3 + 941.2 + 1911

N = 2,396

2,396 thousands (2,396,000) adults were incarcerated in 2013.