Question

Samantha and Isaac are playing racquetball samantha hits the ball sending it onto a trajectory modeled by y= -3 |x-4|+20 where y is the height reached by the ball in feet after x milliseconds in a desperate attempt to keep the ball in the air Issac throws his racquet toward it at a trajectory modeled by y=1/3x+4 when does his racquet hit the ball 3.5 1.5 8.4 6.8

Answer 1

To find when Issac's racquet hits the ball, we need to set the two trajectories equal to each other and then solve for x:

-3|x-4|+20 = 1/3x+4
-3|x-4| = 1/3x-16
|x-4| = -1/9x+16/3
x-4 = -1/9x+16/3 or x-4 = 1/9x-16/3
10/9x = 40/3
x = 12

The racquet hits the ball after x = 12 milliseconds, so the answer is not provided in the options, but it is the closest to 8.4.