ada 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

ada 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 Jada do x push-ups on each of the remaining days of the week. The equation that represents her goal is 30 + x + x + x + x + x + x + x ≥ 100.

Combining like terms will result in 30 + 6x ≥ 100.
Subtracting 30 from both sides yields 6x ≥ 70.
Dividing both sides by 6 shows that x ≥ 70/6, or x ≥ 11.67.
Since x represents the number of push-ups Jada does each day, she needs to do at least 12 push-ups each day for the rest of the week to meet her goal of 100 push-ups.

In the context of the problem, this means that Jada needs to do at least 12 push-ups each day for the rest of the week in order to achieve her goal of 100 push-ups.