Question 630442
The revenue for a small company is given by the quadratic function r(t)=8t2+12t+750 where t is the number of years since 1998 and r(t) is in thousands of dollars. IF the trend continues, find the year after 1998 in which the company’s revenue will be $1506 thousands. Round to the nearest whole number.
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r(t)=8t2+12t+750
1506=8t2+12t+750
0=8t2+12t+750-1506
0=8t2+12t-756
0=2t2+3t-189
solve for t using following quadratic formula:
{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}
a=2, b=3, c=-189
ans: t=-10.5 reject (x>0)
or 
t=9
year after 1998 in which the company’s revenue will be $1506 thousands=2007