Answer:The equation C = 5 + 2t represents a function in this situation. In this equation, "C" represents the total cost of admission to the carnival, and "t" represents the number of tickets for the game that are purchased. The equation states that the total cost of admission is equal to $5.00 (the base cost) plus $2.00 multiplied by the number of game tickets purchased. Therefore, the function represents the total cost of admission to the carnival based on the number of game tickets purchased.
2. The inverse of this function represents the relationship between the number of game tickets purchased and the total cost of admission. In other words, it represents the number of game tickets required to reach a specific total cost of admission. If we denote the inverse function as C^(-1), then C^(-1) = (C - 5) / 2. This means that given a total cost of admission (C), subtracting $5.00 (the base cost) and dividing the result by $2.00 will give us the number of game tickets required to reach that specific total cost.
3. No, the equation t = (C - 2) / 5 does not define the inverse of the function in the first question. The inverse function is derived by subtracting the base cost ($5.00) from the total cost of admission (C) and dividing the result by the cost per ticket ($2.00). The given equation, t = (C - 2) / 5, divides the total cost by a different number (5) and subtracts a different value (2) than what is required to find the inverse function. Therefore, the given equation does not represent the inverse of the function in the first question.
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