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 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.
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 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.
Let's denote the number of push-ups Jada needs to do each day for the rest of the week as "x". Since she has already done 30 push-ups on Sunday, she needs to do 100 - 30 = 70 more push-ups in total for the rest of the week.
Since there are 7 days in a week and she wants to do the same number of push-ups each day, she needs to do a total of 7*x push-ups.
Therefore, the inequality can be written as:
7*x ≥ 70
Dividing both sides of the inequality by 7, we get:
x ≥ 10
This means that Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.
Therefore, the best interpretation of the solution in the context of the problem is:
Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.