Question

The library needs at least 15 people to sign up for an event in order to run it. Currently, 3 people have signed up, and the library expects 2 more people to sign up each day. After how many days will the library be sure it can run the event? Write an inequality that could be used to solve this problem.(1 point)
Responses

3d+2≥15, where d is the number of days.
3 d plus 2 greater than or equal to 15 , where d is the number of days.

2d+3≤15, where d is the number of days.
2 d plus 3 less than or equal to 15 , where d is the number of days.

3d+2≤15, where d is the number of days.
3 d plus 2 less than or equal to 15 , where d is the number of days.

2d+3≥15, where d is the number of days.

Answer 1

To solve this problem, we should set up an inequality that represents the situation:

Currently 3 people have signed up for the event.
The library expects 2 more people to sign up each day.
The library needs at least 15 people to sign up to run the event.

Let d be the number of days after which the total number of people signed up (including the original 3 and the ones signing up each day) meets or exceeds the required number of 15.

The number of new sign-ups after d days is represented by 2d (2 people per day for d days).
The total number of people signed up after d days would be the initial 3 people plus the new sign-ups, which is 3 + 2d.

To find out when the library can be sure it can run the event, we need the total number of sign-ups to be greater than or equal to 15:

3 + 2d ≥ 15

So, the correct inequality that could be used to solve this problem is:

2d + 3 ≥ 15, where d is the number of days.