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.

2d+3≥15
, where d
is the number of days.
2 d plus 3 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 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.
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Answer 1

Let d = number of days. Total signups = 3 + 2d. You need at least 15, so

2d + 3 ≥ 15.

Solve: 2d ≥ 12 ⇒ d ≥ 6.

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