Let x be the number of push-ups Jada needs to do each day for the rest of the week.
The total number of push-ups Jada needs to do for the rest of the week is 100 - 30 = 70 push-ups.
Since she wants to do the same number of push-ups each day for the rest of the week, the inequality is x * 5 ≥ 70.
Dividing both sides of the inequality by 5, we get x ≥ 14.
Therefore, Jada needs to do at least 14 push-ups each day for the rest of the week to meet her goal.
The answer choice that best interprets the solution in the context of the problem is:
Jada needs to do at least 14 push-ups each day for the rest of the week to meet her goal.