To represent the amount Rick owes for renting the car, we need to consider both the fixed daily rental cost and the variable cost based on mileage.
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The daily rental cost is $25 per day. If Rick rents the car for \(x\) days, the cost would be \(25x\).
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The cost per mile driven is $0.10 per mile. If Rick drives \(y\) miles, the cost would be \(0.10y\).
So, the total cost \(C\) can be expressed as:
\[ C = 25x + 0.1y \]
Therefore, the correct expression from the provided options that represents the amount Rick owed is:
A \(25x + 0.1y\)