The algebraic expression that represents the overall rate for a day's tent rental from Tom's Tent Rental, considering both the flat rate and the hourly charges, is '100 + 10h'.
To solve the problem, we need to express the situation in algebraic form. In this case, Tom's Tent Rental charges a flat rate of $100 per day, so we have '100'. Additionally, it costs $10 for each hour the tent is used. If we denote the number of hours as 'h', then the charge for the hours used would be '10h'.
Therefore, the total cost or the algebraic expression representing the overall rate for the day, considering both the flat rate and the hourly charges would be '100 + 10h'.
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