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 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 determine how many days it will take for the library to ensure they have at least 15 people signed up, we need to set up an inequality based on the current sign-ups and the rate of new sign-ups.

Currently, there are 3 people signed up, and they expect 2 more people to sign up each day. After \( d \) days, the total number of sign-ups will be:

\[ 3 + 2d \]

We want this total to be at least 15, so we can write the inequality:

\[ 3 + 2d \geq 15 \]

Thus, the correct choice from the given options is:

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