Question

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) Responses 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 at least 14 push-ups each day for the rest of the week to meet her goal. 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 10 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 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. Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.

Answer 1

wrong

Answer 2

wrong ai

Answer 3

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 remaining days of the week is 7x.
The total number of push-ups Jada needs to do for the entire week is 30 + 7x.
According to the problem, 30 + 7x ≥ 100.
Subtracting 30 from both sides, we get 7x ≥ 70.
Dividing both sides by 7, we get x ≥ 10.
Thus, Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.

Answer: Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.