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 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 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 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.

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.

a b c or d

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.