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.
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Let x be the number of push-ups Jada needs to do each day for the rest of the week.
Since she has already done 30 push-ups on Sunday, she needs to do 100 - 30 = 70 push-ups for the remaining days of the week.
Since she wants to do the same number of push-ups each day, the total number of push-ups for the remaining days is 7x.
Therefore, the inequality that represents the problem is:
7x >= 70
To solve this inequality, divide both sides by 7:
x >= 10
So 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.