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?

Answer 1

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

Jada has 7 days in a week, and she has already done 30 push-ups on Sunday.
The total number of push-ups Jada does in a week is given by the inequality:
30 + x(6) ≥ 100
Simplifying the inequality, we have:
30 + 6x ≥ 100
Subtracting 30 from both sides, we have:
6x ≥ 70
Dividing both sides by 6, we have:
x ≥ 11.667
The solution to the inequality is x ≥ 11.667
Interpreting this in the context of the problem, Jada needs to do at least 12 push-ups each day for the rest of the week in order to meet her goal of 100 push-ups.

Answer 2

not a answer

Answer 3

My apologies for the confusion. Let's reevaluate the solution:

Jada has already done 30 push-ups on Sunday and wants to do the same number of push-ups each day for the rest of the week. Let x represent the number of push-ups Jada needs to do each day for the remaining days.

Since there are 7 days in a week and Jada has already completed push-ups on Sunday, she has 6 remaining days to complete push-ups. Therefore, the total number of push-ups she needs to do is 100 - 30 = 70.

To meet her goal, the inequality for the number of push-ups Jada needs to do each day can be expressed as:
x * 6 ≥ 70

Simplifying the inequality, we have:
6x ≥ 70

Dividing both sides by 6, we find:
x ≥ 11.67

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.

The answer choice that best interprets the solution in the context of the problem is that Jada needs to do at least 12 push-ups each day for the remainder of the week to meet her goal of 100 push-ups.