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 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. 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 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. PLEASE HELP

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) Responses 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. 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 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. PLEASE HELP

Answer 1

Let's start by determining how many push-ups Jada has left to do in order to meet her goal of 100 push-ups. Jada has already done 30 push-ups on Sunday, so she has 100 - 30 = 70 push-ups left to do.

Now, we need to find the number of push-ups Jada needs to do each day for the rest of the week. Let's say Jada needs to do x push-ups each day.

We know that there are 7 days in a week, including Sunday. Since Jada has already done push-ups on Sunday, she needs to do push-ups for the remaining 6 days of the week.

Therefore, the total number of push-ups Jada needs to do for the rest of the week is 6x.

We can now write an inequality to represent the situation:

6x ≥ 70

To solve for x, we divide both sides of the inequality by 6:

x ≥ 70/6

The solution to the inequality is x ≥ 11.67. Since we can't do a fraction of a push-up, we round up to the nearest whole number, which is 12.

So, Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.

The correct interpretation of this solution in the context of the problem is: Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal.