Question

Now that you have determined the equation of a problem, assume (X) represents the number of seconds that have passed since the ball was thrown and determine approximately how long it will take for the ball to reach the ground. The equation is (Y = -1/3X² + 2X + 5).

a. 1.5 seconds
b. 2 seconds
c. 3 seconds
d. 4 seconds

Answer 1

To determine approximately how long it will take for the ball to reach the ground, set the equation equal to zero and solve for X, which gives approximately 4 seconds.

Step-by-step explanation:

The equation given represents the height of a ball thrown in the air as a function of time passed since it was thrown. To determine approximately how long it will take for the ball to reach the ground, we need to find the value of X when Y equals zero. So, we set the equation equal to zero and solve for X:

0 = -1/3X² + 2X + 5

Using the quadratic formula, we find that X is approximately 4 seconds. Therefore, the answer is d. 4 seconds.