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 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.
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.
Let's call the number of push-ups Jada needs to do each day for the rest of the week as "x".
She already did 30 push-ups on Sunday, 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 7 days.
Therefore, the inequality is: 7x ≥ 70.
To solve this inequality, we divide both sides by 7: x ≥ 10.
The solution to the inequality is x ≥ 10.
In the context of the problem, this means that Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.
So, the answer choice that best interprets the solution is: Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.