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

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 number of sign-ups to reach at least 15, we can express the total number of people who will sign up after \( d \) days.

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

\[ 3 + 2d \]

The library needs at least 15 people to sign up to run the event. We can set up the following inequality:

\[ 3 + 2d \geq 15 \]

Now we can solve for \( d \):

1. Subtract 3 from both sides: \[ 2d \geq 12 \]

2. Divide both sides by 2: \[ d \geq 6 \]

This means that after 6 days, the library will be sure it can run the event since the required number of sign-ups will be reached.

The correct inequality to use for solving this problem is:

\[ 2d + 3 \geq 15 \]

Thus, the answer is:

\[ 2d + 3 \geq 15 \]