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?

A) The graph will be continuous because an end day for the booth being set up is not given in the description.
B) The graph will be continuous because there can be any number of people signing up each day since we are only given the average.
C) The graph will be discrete because some day the number of available people to sign up for the club will run out.
D) The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.

Answer 1

D

Explanation:

Answer 2

Option D is the correct choice.

Explanation:

Let m be the members on the yearbook and d represent the number of days.

We have been given that 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.

This means that members in d days will be 2 plus 3d.

We can represent this information in an equation as:

`m=5+3d`, where, m and d will be positive integers as we can not have a fraction of a member and day.

Upon looking at our given choices we can see that option D is the correct choice as our function is a discrete function because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.