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.

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.
3 d plus 2 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 determine when the library can be sure that the event will run, we need to set up an inequality based on the given information.

Currently, there are 3 people signed up, and 2 more people will sign up each day. Thus, the total number of people signed up after \(d\) days can be expressed as:

\[ 3 + 2d \]

The event will run if at least 15 people are signed up, so we set up the inequality:

\[ 3 + 2d \geq 15 \]

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

Thus, the correct inequality to solve this problem is:

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