contestada

The number of prisoners held in federal and state prisons, measured in thousands, can be described by the polynomial -2.06x^2 + 77.82x + 743. The variable x represents the number of years since 1990.

A) Estimate the number of prisoners in 1990.

B) According to the polynomial, by how much did the prison population increase from 2002 to 2007?

I tried putting 1990 in brackets where the x is for part A, but I got a negative number because of the -2.06 and it's not the right answer. Can someone please walk me through the steps?

Respuesta :

FirstSineOfMadness
The key thing here is that x is the number of years AFTER 1990, therefore for part A plug in 0 to get 743
For part B plug in 12 and 17 then subtract the smaller from larger.
I got 1470.6 for 2007 and 1380.2 for 2002
Subtracting gives 90.4, which rounds to 90 because .4 of a prisoner doesn't make sense

Final answer:
(A) 743
(B) 90
Hope I helped :)

Otras preguntas