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

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.

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.

Answer 1

To find the number of days until the library can be sure to run the event, we can set up the following inequality based on the given information:

- Current sign-ups: 3 people
- Expected daily sign-ups: 2 people per day
- Minimum required sign-ups: 15 people

Let \( d \) represent the number of days until the event.

The total number of people signed up after \( d \) days will be:
\[
3 + 2d
\]

We need this total to be at least 15:
\[
3 + 2d \geq 15
\]

Thus, the correct inequality is:
\[
2d + 3 \geq 15
\]

This is the appropriate choice.