Question 1225 • Crowley Credit Recovery Algebra II B
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 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.
Explanation
The number of members, m, counts people, so it cannot include a fraction of a person. Since the booth is set up once each day, the number of days, d, is counted in whole days. The graph therefore consists of separate points rather than every point along a continuous line; choice D correctly describes why it is discrete.
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