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.

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.
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.

Answer 1

To determine how many days it will take for the library to ensure they have enough sign-ups to run the event, we start with the current sign-ups and the expected daily sign-ups.

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

\[ 3 + 2d \]

To find out after how many days this total will be at least 15 (the minimum required to run the event), we set up the following inequality:

\[ 3 + 2d \geq 15 \]

This inequality states that the total number of sign-ups should be greater than or equal to 15.

Thus, the correct inequality is:

\[ 2d + 3 \geq 15 \]

So the answer is:

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