According to data from the U.S. Department of Education, the average cost y of tuition and fees at public four-year institutions
in year x is approximated by the equation
y = 0.024x* -0.87x + 9.6x² +97.2x + 2196
where x = 0 corresponds to 1990. If this model continues to be accurate, during what year will tuition and fees reach $4000?
a. 2000
C. 2016
b. 2010
d. 2004
, for
.
.![y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3](https://tex.z-dn.net/?f=y%27%3D%5B%28x%5E2%2B2%29%5E3%5D%27%5B%28x%5E3%2B3%29%5E2%5D%2B%5B%28x%5E3%2B3%29%5E2%5D%27%5B%28x%5E2%2B2%29%5E3%5D%5C%5C%5C%5C%20%3D3%28x%5E2%2B2%29%5E2%28x%5E3%2B3%29%5E2%2B2%28x%5E3%2B3%29%28x%5E2%2B2%29%5E3)
.