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.

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.

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.

Answer 1

To solve this problem, we need to set up an inequality based on the number of people who will sign up over time.

Currently, 3 people have signed up. The library expects 2 more people to sign up each day, so after \( d \) days, the total number of people who have signed up will be:

\[ 3 + 2d \]

We want this total to be at least 15 people to run the event. Therefore, we can set up the inequality:

\[ 3 + 2d \geq 15 \]

So, the correct inequality is:

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

This matches with the second response provided.

Answer 2

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≤103.5
n less than or equal to 103.5

n≤11.5
n less than or equal to 11.5

n≤131.1
n less than or equal to 131.1

n≤112.7
n less than or equal to 112.7
Skip to navigation
page 14 of 14