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)
Let's say Jada does x push-ups each day for the rest of the week. Since there are 6 remaining days in the week (Monday to Saturday), the total number of push-ups she does for the rest of the week is 6x.
To meet her goal of 100 push-ups, the inequality is:
30 + 6x ≥ 100
To solve for x, we can subtract 30 from both sides:
6x ≥ 70
Divide both sides by 6:
x ≥ 11.67
Since Jada cannot do a fraction of a push-up, we round up the number of push-ups she needs to do each day for the rest of the week to meet her goal to the nearest whole number. Therefore, 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.