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
A
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.
B
The graph will be discrete because some day the number of available people to sign up for the club will run out.
C
The graph will be continuous because an end day for the booth being set up is not given in the description.
D
The graph will be continuous because there can be any number of people signing up each day since we are only given the average.
Explanation
The number of club members must be a whole number, since people cannot be divided into partial members. The number of days the booth is set up is also counted in whole days, so the graph consists of separate points rather than a continuous line. Therefore, choice A is correct: the graph is discrete because sign-ups and booth days are counted in whole units.
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