Since Jada has already done 30 push-ups on Sunday, she needs to do at least 70 more push-ups to meet her goal of 100 push-ups for the week. Since she wants to do the same number of push-ups each day for the rest of the week, we can represent the number of push-ups she needs to do each day as x. Therefore, we can write the inequality as:
x * (number of remaining days) >= 70
Since there are 6 remaining days in the week (Monday to Saturday), the inequality becomes:
x * 6 >= 70
To solve for x, we divide both sides of the inequality by 6:
x >= 70/6
x >= 11.67
Since Jada can't do a fraction of a push-up, she needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
Therefore, the correct answer choice is: Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.