The function defined by $$D ( t ) = 13 t ^ { 2 } -$$ 73t gives the distance in feet that a car going approximately 50 mph will skid in t seconds. Find the time it would take for the car to skid 380 ft. Round to the nearest tenth.
A) 9.9 sec
B) 10.3 sec
C) 8.9 sec
D) 10.1 sec

Question

Quizplus · Accepted Answer

To find the time it would take for the car to skid 380 feet, we set the equation $D(t) = 13t^2 - 73t = 380$ and solve for $t$. Rearranging the equation gives $13t^2 - 73t - 380 = 0$. Solving this quadratic equation for $t$ (using the quadratic formula or factoring, if possible), we find that $t \approx 8.9$ seconds, rounding to the nearest tenth.

The Function Defined By D(t)=13t2−D ( t ) = 13 t ^ { 2 } -D(t)=13t2−

The Function Defined By $D ( t ) = 13 t ^ { 2 } -$