Question

Over the year, 32, 28, 41, 17, 35, and 40 people have attended French Club meetings. Write and solve an inequality to find the minimum number of people that need to attend the next meeting so that the average attendance is at least 30 people.

A) x ≥ 25
B) x ≥ 30
C) x ≥ 35
D) x ≥ 40

Answer 1

To find the minimum number of people that need to attend the next meeting so that the average attendance is at least 30 people, we calculate the total attendance from the previous meetings, set up an inequality, and solve for x.

Step-by-step explanation:

To find the minimum number of people that need to attend the next meeting so that the average attendance is at least 30 people, we need to calculate the total attendance from the previous meetings and set up an inequality.

First, we sum up the attendance from the previous meetings: 32 + 28 + 41 + 17 + 35 + 40 = 193.

Let x represent the number of people attending the next meeting. The inequality is: (193 + x) / 7 ≥ 30.

To solve for x, we multiply both sides of the inequality by 7 and then subtract 193: x ≥ 30 * 7 - 193 = 210 - 193 = 17.

Therefore, the minimum number of people that need to attend the next meeting so that the average attendance is at least 30 people is 17.