Question

The # of taxi accidents is approximated by y=-143.3x^2+1823.3x+6820 and the # of injuries is approximated by y= -416.72x^2+4416.7x+8500

Let x=0 represents 1990, x=1 represents 1991, and so on.
According to the equation for the # of accidents, if the trend continued, how many taxi accidents occurred in 1999 and injuries in 1999

Answer 1

Can any one help with this problem?

Answer 2

So for 1999, x=9

So just plug in 9 and solve the two equations.

For equation 1;

\[y=-143.3(9^{2)}+1823.3(9)+6820\]

y=11,622.4 or 11,623 taxi accidents in year 1999

Equation 2:
\[y=-416.72(9^{2)}+4416.7(9)+8500\]

y=14,495.98 or 14,496 injuries in year 1999