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1 month ago

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The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an a

verage 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?

2 answers:

Inessa [12.5K]1 month ago

8 0

The graph will rise.

lawyer [12.5K]1 month ago

7 0

Answer:

The graph will be discrete.

Step-by-step explanation:

There are 5 members from last year in the yearbook club.

Each day, an average of 3 additional members join.

Consequently, the total number of members increases by 3 each day.

This can be modeled using the equation:

$m=5+3d$

The series of member counts forms the sequence: 5, 8, 11, 14, 17........

Thus, we conclude that the graph represents a discrete function since the number of members is whole and the booth operates once per day.

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The highest value is 17 and the lowest is 1

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Calculating the inter-quartile range

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$IQR = Q_3 - Q_1$

Where

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N = Total data points; N = 10

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Calculating Q3

$Q_3 = \frac{3}{4}(N+1) th\ item$

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$Q_3 = \frac{3}{4}(10+1) th\ item$

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Converting 0.25 into fractions

$Q_3 = (8 + 0.25) th\ item$

$Q_3 = 8th\ item + 0.25 th\ item$

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$Q_3 = 8th\ item +\frac{1}{4} th\ item$ and

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