QUESTION IMAGE
Question
the graph shows the amount that miracle maid service charges to clean a house. they charge a flat house visit fee plus an additional cost per room to clean a house. how much is the initial house visit fee? a $10 b $20 c $30 d $4
Step1: Understand the problem
The initial house visit fee is the cost when the number of rooms (x - axis) is 0, which is the y - intercept of the graph.
Step2: Analyze the graph (conceptually)
Even though the graph is a bit unclear, we know that the initial fee is when 0 rooms are cleaned. Looking at the options, we can think about the context. The flat fee (initial visit fee) should be a reasonable amount. If we consider the idea of a linear relationship (cost = flat fee + cost per room * number of rooms), when number of rooms = 0, cost = flat fee. From the options, if we assume the graph's y - intercept (when x = 0) is $10 (option A), $20 (B), $30 (C) or $4 (D). A house visit fee of $10 is more reasonable as a flat fee compared to $4 (too low for a visit) or $20/$30 (maybe too high for just a visit before cleaning rooms). Also, if we think about typical service fees, a $10 flat visit fee makes sense.
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A. $10