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 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 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.
3d+2≥15, where d is the number of days.
The sum of 4.6 and one-third a number is equal to at most 39.1. What are all the possible values of the number? Artem wrote the inequality 1/3n+4.6≤39.1 , where n equals the number, to help solve this problem. Solve his inequality.(1 point) Responses n≤112.7 n less than or equal to 112.7 n≤131.1 n less than or equal to 131.1 n≤11.5 n less than or equal to 11.5 n≤103.5
n≤112.7
The correct inequality that could be used to solve this problem is: 3d + 2 ≥ 15, where d is the number of days.
To understand why this is the correct inequality, let's break down the information given in the problem:
- The library needs at least 15 people to sign up for the event in order to run it.
- Currently, 3 people have signed up.
- The library expects 2 more people to sign up each day.
We can represent the number of people signing up each day with the variable d (representing the number of days). Thus, on the first day, 3 people have signed up (the initial 3 people). On the second day, 5 people have signed up (the initial 3 people + 2 more people). On the third day, 7 people have signed up, and so on.
To be sure the library can run the event, the number of people who have signed up (which is 3 + 2d) must be greater than or equal to 15. This inequality can be written as 3d + 2 ≥ 15.
Therefore, the correct answer is: 3d + 2 ≥ 15, where d is the number of days.