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) Responses Jada needs to do at least 14 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. 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 12 push-ups each day for the rest of the week 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 10 push-ups each day for the rest of the week to meet her goal. Jada needs to do push-ups for at least 12 more days to meet her goal. Jada needs to do push-ups for at least 12 more days to meet her goal. Skip to navigation
Let's set up an inequality to represent the situation. Jada has already done 30 push-ups on Sunday, so she needs to do 100 - 30 = 70 push-ups for the rest of the week. Let's say she needs to do x push-ups each day for the remaining days of the week. Since there are 7 days in a week and she already did one day with 30 push-ups, there are 7 - 1 = 6 remaining days.
The total number of push-ups Jada needs to do for the rest of the week is 6x. Setting up the inequality, we have:
6x >= 70
Dividing both sides by 6, we get:
x >= 70/6
Simplifying the right side, we have:
x >= 11.6667
Rounding up to the nearest whole number, Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.
Therefore, the solution that best interprets the answer is:
Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.