In this equation, the coefficient 45 represents the cost per person, and the constant term 200 represents the fixed cost for the party. The total charge for the party is calculated by multiplying the number of people in attendance (x) by the cost per person (45) and adding the fixed cost (200).
For example, if there are 10 people in attendance at the party, the total charge would be:
y = 45(10) + 200
y = 450 + 200
y = 650
Therefore, the total charge for a party with 10 people in attendance would be $650. This linear model can be used to predict the total charge for parties with different numbers of people in attendance.
The equation y = 45x + 200 is a linear model of the total charge, y for a party at a restaurant with x people in attendance.
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