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)

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?(1 point)

Answer 1

Let's denote the number of push-ups Jada needs to do each day for the rest of the week as x.

The number of push-ups Jada has already done is 30 push-ups.

The number of push-ups Jada will do for the rest of the week is (x * 6) since she wants to do the same number each day for the rest of the week, and there are 6 remaining days in the week.

Thus, the total number of push-ups Jada will do is (30 + x * 6).

To meet her goal of 100 push-ups, we can write the following inequality:

30 + x * 6 ≥ 100

Simplifying this inequality, we have:

x * 6 ≥ 70

x ≥ 70 / 6

x ≥ 11.67

Interpreting the solution in the context of the problem, 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.