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.

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 less 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 determine when the library can be sure to run the event, we can set up an inequality based on the problem's parameters.

Currently, 3 people have signed up, and the library expects 2 more people to sign up each day. We want to know how many days, \(d\), it will take until the total number of sign-ups is at least 15.

The total number of people signed up after \(d\) days can be represented by the equation:
\[
3 + 2d
\]
We want this total to be at least 15:
\[
3 + 2d \geq 15
\]

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

So the right response is:
**2d + 3 ≥ 15, where d is the number of days.**