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?

Question

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?

ANSWERS
A. Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.
B. Jada needs to do push-ups for at least 12 more days to meet her goal
C. Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal
D. Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal

Answer 1

Let x be the number of push-ups Jada needs to do each day for the rest of the week.

Jada has already done 30 push-ups on Sunday.
For the remaining days of the week, Jada needs to do 100 - 30 = <<100-30=70>>70 push-ups.
Since there are 7 remaining days in the week, Jada needs to do 70 / 7 = <<70/7=10>>10 push-ups each day.
The answer is A. Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal.