Question

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?

Answer 1

the graph will go up

Answer 2

It will be discrete.

Explanation:

The yearbook club has 5 members returning from last year.

An average of 3 new members sign up each day.

This means each following day the members increase with 3.

We can represent this information in an equation as:

`m=5+3d`

And the series will form like : 5,8,11,14,17........

Hence, we can say that the graph will be a discrete function as the members will be whole numbers and not partial and the booth is also set up once every day,