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 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 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 at least 12 push-ups each day for the rest of the week to meet her goal.

Answer 1

Let x = push-ups per day for the remaining days (6 days).
Inequality: 30 + 6x ≥ 100.
Solve: 6x ≥ 70 → x ≥ 70/6 ≈ 11.67.

Since she must do whole push-ups, she needs at least 12 push-ups each day for the rest of the week. So the correct choice is: "Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal."