Question

To remain a member of student council, a student must attend at least 3/4 of the activities. Joey attends 15 of the activities and remains on the student council. Which inequality represents the total amount of student council activities, a?

Answer 1

It is going to be the second answer choice because 15 is greater than or equal to 3/4ths of a 

Answer 2

`(3)/(4)a\leq 15`

Explanation:

Here, a be the total amount of student council activities,

Since, a student must attend at least 3/4 of the activities,

Thus, the least number number of activities a student must attend = 3/4 of a

`=(3a)/(4)`

Given,

Joey attends 15 of the activities to remains on the student council,

Also, his activity must be greater than
`(3a)/(4)`.

`\implies (3)/(4)a\leq 15`

Which is the required inequality.