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 less 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 greater 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 find how many days it will take for the library to be sure it can run the event, we need to formulate the situation into an inequality.

Currently, there are 3 people signed up, and the library expects 2 more people to sign up each day. After \(d\) days, the number of people signed up can be represented as:

\[
3 + 2d
\]

For the event to run, at least 15 people need to sign up. Thus, we need the following inequality:

\[
3 + 2d \geq 15
\]

This means that after \(d\) days, the total number of people signed up must be greater than or equal to 15.

So the correct response is:

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