Answer:
D year 15
Explanation:
Given:
y= 8x^2-40x+6
year is the best prediction for when 1206
Finding value of x for y=1206
8x^2-40x+6= 1206
8x^2-40x+6-1206=0
8x^2-40x-1200=0
Solving the above by quadratic formula:
x=
![\frac{-b\sqrt{b^(2)-4ac } }{2a}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/i6pijkbv9rz28vzxnirbk6dxynquog5zdx.png)
=
![\frac{40\sqrt{40^(2)-4(8)(-1200) } }{2(8)}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vdb85q63uwhcmxz4tnx1qyrg70t78ax8l9.png)
x= 15 and x= -10
As year can not be negative, hence correct answer is
D: year 15!