Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.
Since the amount of chocolate decreases as the number of attendees increase;
We use inverse variation to model the scenario :
- y = k/x ; k = constant of proportionality
Taking any pair of points :
3000 = k/8
k = 3000 × 8
k = 24000
- Hence, the constant of variation is 24000
- The variation expression is y = 24000/x
- This means that the total cost of organising the gettogether is to be shared equally among the attendees
Therefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.
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