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? (1 point)
Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.
Jada needs to do at least 14 push-ups each day for the rest of the week to meet her.
goal.
• Jada needs to do push-ups for at least 12 more days to meet her goal.
Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
Let's assume that Jada wants to do x push-ups each day for the rest of the week. Since there are 7 days in a week and she already did 30 push-ups on Sunday, she has 7 - 1 = 6 days left to do push-ups.
The total number of push-ups she needs to do for the rest of the week is 100 - 30 = 70.
Since she wants to do the same number of push-ups each day, Jada needs to do at least 70 / 6 = 11.67 push-ups each day for the rest of the week.
Since we can't do a fraction of a push-up, Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
Therefore, the answer choice that best interprets the solution in the context of the problem is: Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.