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Sagot :
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 $200
The fixed expense is $100
Reasons:
Let C represent the constant expenses and let X 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
[tex]X = \dfrac{8,000}{40} = 200[/tex]
The cost per participant, X = $200
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 = $100
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