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?
A. Jada needs to do at least 11 and 2 thirds
B. Jada needs to do push-ups for at least 12 more days to meet her goal
C. Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal
D. Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal
Let's say Jada wants to do x push-ups each day for the rest of the week.
The number of days remaining in the week is 7 - 1 = 6 days.
Therefore, Jada needs to do at least 6x push-ups for the rest of the week.
She has already done 30 push-ups on Sunday.
So, the total number of push-ups she needs to do for the week is 30 + 6x.
According to the problem, she wants to meet her goal of at least 100 push-ups.
Therefore, the inequality is:
30 + 6x ≥ 100
Subtracting 30 from both sides, we get:
6x ≥ 70
Dividing both sides by 6, we get:
x ≥ 70/6
Simplifying, we get:
x ≥ 11 and 2/6 or x ≥ 11 and 1/3
The answer choice that best interprets the solution in the context of the problem is:
A. Jada needs to do at least 11 and 2 thirds.