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2. A hotel offers two different types of rooms. The expression \( k+2 f \) gives the number of beds in the hotel where \( k \) is the number of rooms with a king size bed and \( f \) is the number of rooms with 2 full size beds. What are the terms of the expression?

Ask by Wagner Davey. in the United States
Mar 12,2025

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Answer

The terms of the expression \( k + 2f \) are: - \( k \) (number of rooms with a king size bed) - \( 2f \) (total number of beds in rooms with 2 full size beds)

Solution

In the expression \( k + 2f \), we can identify the terms as follows: 1. **Term 1:** \( k \) - This term represents the number of rooms with a king size bed. It is a linear term in terms of the variable \( k \). 2. **Term 2:** \( 2f \) - This term represents the total number of beds in the rooms with 2 full size beds. Since each room with 2 full size beds contributes 2 beds, this term is a product of the coefficient 2 and the variable \( f \), which represents the number of such rooms. Thus, the terms of the expression \( k + 2f \) are: - \( k \) - \( 2f \)

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Bonus Knowledge

The terms of the expression \( k + 2f \) are \( k \) and \( 2f \). Here, \( k \) represents the number of king size bed rooms, serving as the first term, while \( 2f \) signifies the total number of beds coming from the rooms with two full size beds, which is the second term. Each term plays a crucial role in determining the total number of beds within the hotel, highlighting how the quantity of each room type directly contributes to the overall accommodation capacity. To find the total number of beds, you simply add the two terms together, giving you a fuller picture of what the hotel can offer.

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