Question

select the correct inequality used to solve the following: determine the time when the rocket will be more 48 feet above the ground. - 4t² + 30t - 48 > 0 - 4t² + 30t - 44 > 0 - 4t² + 30t + 44 > 0 - 4t² + 30t + 48 > 0

Explanation:

Step1: Assume height - time relation

Let the height of the rocket as a function of time $t$ be $h(t)=- 4t^{2}+30t$. We want to find when $h(t)>48$.

Step2: Rearrange the inequality

Subtract 48 from both sides of the inequality $-4t^{2}+30t>48$. We get $-4t^{2}+30t - 48>0$.

Answer:

$-4t^{2}+30t - 48>0$