the yearbook club has 5 members returning from last year. they set up a booth in the cafeteria to recruit…

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? the graph will be continuous because an end day for the booth being set up is not given in the description. the graph will be continuous because there can be any number of people signing up each day since we are only given the average. the graph will be discrete because some day the number of available people to sign up for the club will run out. 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.

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? the graph will be continuous because an end day for the booth being set up is not given in the description. the graph will be continuous because there can be any number of people signing up each day since we are only given the average. the graph will be discrete because some day the number of available people to sign up for the club will run out. 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

Brief Explanations:

  • A continuous graph allows for any value within an interval. A discrete graph consists of distinct, separate points.
  • The number of members (m) is given by the equation (m = 3d+5), where (d) represents the number of days.
  • Since the number of days (d) is a non - negative integer (you can't have a fraction of a day for setting up the booth in this context of counting sign - ups) and the number of members (m) must be an integer (you can't have a fraction of a person), the graph will have distinct points. For example, on day (d = 0), (m=5); on day (d = 1), (m=3\times1 + 5=8); on day (d = 2), (m=3\times2+5 = 11), etc.

Answer:

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.