The number y of raccoons in an area after x years can be modeled by the function y = 0.4x^2+2x+2. When were there about 50 raccoons in the area. Round your answer to the nearest year

9 years.

Step-by-step explanation:

For 50 raccoons the equation is

0.4x^2+2x+2 = 50

0.4x^2+2x - 48 = 0

x = [-2 + / - sqrt (2^2 - 4 * 0.4 * (-48) ] / (2*0.4)

= (-2 + / - sqrt 9) / 0.8

= 8.74, - 13.75 (ignore the negative).

So it's 9 years.