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)

Question

Responses

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 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 greater than or equal to 15 , where d is the number of days.

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

Answer 1

To find out how many days it will take for the library to have at least 15 people signed up for the event, we can define the situation with an inequality.

Currently, 3 people are signed up, and the library expects 2 more people to sign up each day. Therefore, after \( d \) days, the total number of sign-ups would be:

\[ 3 + 2d \]

To ensure the event can be run, this total must be at least 15. We can express this requirement with the following inequality:

\[ 3 + 2d \geq 15 \]

This means you are looking for when the number of sign-ups is at least 15. So, the correct response is:

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