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)ResponsesJada 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.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 push-ups for at least 12 more days to meet her goal.

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)ResponsesJada 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.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 push-ups for at least 12 more days to meet her goal.

GPT 3.5 · Answer

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

Jada has already done 30 push-ups on Sunday.
She needs to do a total of 100 push-ups for the week.
So, 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 for the rest of the week, she needs to do x push-ups for the remaining days.
Therefore, the inequality is:
x * (number of remaining days) ≥ 70

There are 6 remaining days in the week (Monday to Saturday).
So, the inequality becomes:
6x ≥ 70

Dividing by 6 on both sides:
x ≥ 70 / 6 = 11.67

Rounded to the nearest whole number, Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.

Therefore, the best interpretation is:
Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.