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

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

Answer 1

Let x be the number of push-ups Jada needs to do each day for the rest of the week.

Since she did 30 push-ups on Sunday, she needs to do 100 - 30 = 70 push-ups for the rest of the week.
Jada needs to do the same number of push-ups each day, so the inequality is x * 6 ≥ 70.
Simplifying the inequality, we get 6x ≥ 70.
Dividing both sides by 6, we get x ≥ (70 / 6) = 11.6667.
Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal of 100 push-ups.

The solution means that Jada needs to do at least 12 push-ups each day for the rest of the week to reach her goal of 100 push-ups.