Question

select the correct inequality used to solve the following: determine the time when the rocket will be more 30 feet above the ground. -4t² + 30t + 4 ≥ 30 -4t² + 30t + 4 ≤ 30 -4t² + 30t + 4 < 30 -4t² + 30t + 4 > 30

Explanation:

Step1: Identify the key - word

The problem asks for when the rocket is more than 30 feet above the ground. "More than" means greater than.

Step2: Match with the inequality

If the height of the rocket is given by the expression \(-4t^{2}+30t + 4\), and we want the height to be more than 30 feet, the correct inequality is \(-4t^{2}+30t + 4>30\).

Answer:

\(-4t^{2}+30t + 4>30\) (the last option)