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 cheins 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 cheins best interprets the solution in the context of the problem?

(1 point)

Answer 1

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

The total number of push-ups Jada needs to do for the rest of the week is (7 - 1) * x = 6x.
Jada has already done 30 push-ups on Sunday, so the total number of push-ups Jada needs to do is 30 + 6x.
The total number of push-ups Jada needs to do is greater than or equal to 100, so we can write the inequality:
30 + 6x ≥ 100.

Simplifying the inequality, we have:
6x ≥ 70.

Dividing both sides of the inequality by 6, we get:
x ≥ 11.67.

The solution to the inequality is x ≥ 11.67.

The best interpretation of the solution in the context of the problem is that Jada needs to do at least 11 push-ups each day for the rest of the week to meet her goal of 100 push-ups.