The total expense and the number of participants is a linear function that
has the fixed expense value as the y-intercept.
The expense per participants, X is <u>$200</u>
The fixed expense is <u>$100</u>
Reasons:
Let <em>C</em> represent the constant expenses and let <em>X </em>represent the part that
varies with the number of participants, we have;
10,100 = 50·X + C...(1)
2,100 = 10·X + C...(2)
Subtracting the second equation from the first, gives;
10,100 - 2,100 = (50·X + C) - (10·X + C) = 40·X
8,000 = 40·X
The cost per participant, X = <u>$200</u>
From equation (2), we get;
2,100 = 10·X + C
Therefore;
2,100 = 10 × 200 + C
C = 2,100 - 10 × 200 = 100
The fixed cost, C = <u>$100</u>
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