A movie theater allows fewer than 80 people at a screening. Eight employees will attend the next screening along with n groups of people. Each group will have 4 people.
Which inequality can be used to represent the situation?
Responses
4(n+8)<80
4 left parenthesis n plus 8 right parenthesis less than 80
n−12<80
n minus 12 less than 80
4n+8<80
4 n plus 8 less than 80
n+12<80
n plus 12 less than 80
To determine the inequality that represents the given situation, we need to understand the conditions mentioned in the problem.
1. The movie theater allows fewer than 80 people at a screening.
2. Eight employees will attend the next screening.
3. Each group will have 4 people.
Let's break down the conditions step by step:
1. The number of people attending the screening is composed of the employees and the groups of people. Hence, we can represent the total number of people as (8 + n), where n represents the number of groups.
2. Each group consists of 4 people, so the total number of people in the groups will be 4n.
3. Combining the two conditions, the total attendance at the screening is given by (8 + n + 4n), which simplifies to (8 + 5n).
4. Since the movie theater allows fewer than 80 people at a screening, we can set up the inequality (8 + 5n) < 80.
Therefore, the correct inequality that represents the situation is:
(8 + 5n) < 80
So, the correct option is:
4(n + 8) < 80
The correct inequality that represents the situation is:
4(n+8) < 80