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?
Jada needs to do push-ups for at least 12 more days
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 14 push-ups each day for
the rest of the week to meet her goal
Let x be the number of push-ups Jada needs to do each day for the rest of the week.
From Sunday, she has already done 30 push-ups, and she wants to do a total of 100 push-ups in a week.
For the remaining days of the week, she has 7 - 1 = 6 days.
She needs to do at least 100 - 30 = 70 push-ups for the remaining days of the week.
So, she needs to do at least 70/6 = <<70/6=11.666666666666666>>11.67 push-ups each day for the rest of the week.
The solution is rounded up to the nearest whole number, which is 12.
Therefore, Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
The answer choice that best interprets the solution in the context of the problem is:
Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal. Answer: "Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal."