If anyone could help it would be greatly appreciated the number of visitors to the us nation parks in time is given by the formula n=-0.08t^2+1.64t+50, where n represents millions of visitors and t is in years since 1998.

in what year do we expect 30 million tourists in our parks. round up to the next calendar year.

Question

If anyone could help it would be greatly appreciated the number of visitors to the us nation parks in time is given by the formula n=-0.08t^2+1.64t+50, where n represents millions of visitors and t is in years since 1998.

in what year do we expect 30 million tourists in our parks. round up to the next calendar year.

campbell_st · Answer

well set n = 30 and then solve for t

so $$30 = -0.08t^2 + 1.64t + 50$$

or 


you should use the general quadratic formula to solve the problem.

campbell_st · Answer

you need to use 

$$t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

where a = -0.08, b = 1.64 and c = 20

only consider the positive answer, which will need to be added to 1998 to find the year.