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) Also explain answer and how you got it.
Responses
A: 3d+2≤15, where d is the number of days.
B: 2d+3≤15, where d is the number of days.
C: 2d+3≥15, where d is the number of days.
D: 3d+2≥15, where d is the number of days.
The correct inequality that could be used to solve this problem is B: 2d+3≤15, where d is the number of days.
To solve the problem, we need to find out after how many days the number of people who signed up for the event will reach or exceed 15.
The starting point is 3 people who have already signed up. Then, each day, 2 more people sign up, which can be represented by the expression 2d, where d is the number of days.
Adding this to the initial number of sign-ups, we get 3 + 2d.
The library needs at least 15 people to sign up, so the inequality becomes:
3 + 2d ≤ 15.
Simplifying this equation, we get:
2d + 3 ≤ 15.
Therefore, the correct inequality is B: 2d+3≤15.