finding nearest year

Question

The function? D(x) models the cumulative number of deaths from a disease x years after 1984. Estimate the year when there were 94?,000 deaths.

 

D(X) = 2408X square +5797X +5197

 

Round to nearest year.

Answer 1

You will set D(x) equal to 94000.

 

2408x² + 5797x + 5197 = 94000

 

 

Subtract 94000 on both sides of the equation.

 

2408x² + 5797x - 88803 = 0

 

 

Use the quadratic formula to solve for the positive value of t.  Round that value of t to the nearest integer.  Then add that value to 1984 to get the actual year.