Jada has challenged herself to do at least 100 full push-ups this week. On Sunday, she does 30 push-ups. Her arms are sore, so she decides to do fewer push-ups on the remaining days of the week. She wants to do the same number of push-ups each day for the rest of the week. Write and solve an inequality for the number of push-ups Jada needs to do each day for the rest of the week to meet her goal of 100 push-ups. Which answer choice best interprets the solution in the context of the problem?

Let x be the number of push-ups Jada needs to do each day for the rest of the week.

Jada does 5 * x push-ups for the remaining days of the week.
To reach her goal, she needs to do a total of 100 push-ups, so 5 * x = 100.
The number of push-ups Jada needs to do each day for the rest of the week is x = 100 / 5 = <<100/5=20>>20 push-ups.
The answer choice that best interprets the solution in the context of the problem is Jada needs to do 20 push-ups each day for the rest of the week. Answer: \boxed{20}.