Let x be the number of push-ups Jada needs to do each day for the rest of the week. Since she already did 30 push-ups on Sunday, she needs to do a total of 100 - 30 = 70 push-ups for the rest of the week.
Jada will be doing push-ups for 6 more days in the week after Sunday. Therefore, the total number of push-ups she needs to do for the rest of the week is 6x.
The inequality representing this situation is:
6x ≥ 70
Dividing both sides by 6, we get:
x ≥ 70/6
x ≥ 11.67
Since Jada can only do whole number of push-ups, she needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
Therefore, the answer choice that best interprets the solution in the context of the problem is:
A. Jada needs to do least 12 push-ups each day for the rest of the week to meet her goal.
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 least 12 push-ups each day for the rest of the week to meet her goal.
B. Jada needs to do at least 14 push-ups each day for the rest of the week to meet her goal.
C. Jada needs to do push-ups for at least 12 more days to meet her goal.
D. Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.
1 answer