Question%0D%0AJada 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?
Let's assume that Jada does x push-ups each day for the rest of the week.
The number of push-ups she does on Sunday is 30, so the total number of push-ups she has done so far is 30.
To reach her goal of 100 push-ups, she needs to do at least 100 - 30 = 70 push-ups for the rest of the week.
Since she wants to do the same number of push-ups each day for the rest of the week, she needs to do at least 70/6 = <<70/6=11.666666666666666>>11.67 push-ups each day.
In the context of the problem, 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.