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?

Jada needs to do at least 11 and 2 thirds
Jada needs to do push-ups for at least 12 more days 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 12 push-ups each day for the rest of the week to meet her goal

Answer 1

Let's represent the number of push-ups Jada needs to do each day for the remaining days of the week by the variable "x". Since Jada wants to do the same number of push-ups each day, we can set up the following inequality:

x + x + x + x + x + x ≥ 100

This can be simplified to:

6x ≥ 100

Now, we can solve for "x" by dividing both sides of the inequality by 6:

x ≥ 16.6667

Since Jada can't do a fraction of a push-up, she must do at least 17 push-ups each day for the rest of the week to meet her goal.

Therefore, the best interpretation of the solution in the context of the problem is:

Jada needs to do at least 17 push-ups each day for the rest of the week to meet her goal.

Answer 2

tat is not a option Jada needs to do at least 11 and 2 thirds

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

Answer 3

Apologies for the confusion. Let's solve the inequality again to find the correct interpretation.

We have the inequality:
30 + x + x + x + x + x + x ≥ 100

Simplifying:
30 + 6x ≥ 100

Subtracting 30 from both sides:
6x ≥ 70

Dividing both sides by 6:
x ≥ 70/6

This can be simplified to:
x ≥ 11 and 2/3

Therefore, the correct interpretation is:

Jada needs to do at least 11 and 2/3 push-ups each day for the rest of the week to meet her goal.