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.

Answer 1

To find out after how many days the library will have enough people signed up to run the event, we need to consider the current number of sign-ups and how many more will be added each day.

Currently, there are 3 people signed up, and the library expects 2 more sign-ups each day.

Let \( d \) be the number of days after which we want to calculate the total sign-ups. The total number of people signed up after \( d \) days can be expressed as:

\[
3 + 2d
\]

The library needs at least 15 people to run the event, so we can set up the following inequality:

\[
3 + 2d \geq 15
\]

This inequality can be solved to find the value of \( d \):

\[
2d \geq 15 - 3
\]
\[
2d \geq 12
\]
\[
d \geq 6
\]

Thus, the library will be sure it can run the event after 6 days.

The correct inequality that could be used to solve this problem is:

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