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Question
annabelle is ordering a taxi from an online taxi service. she has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels, as is represented in the linear graph below. what is the meaning of the y - value when x = 1?
In a linear relationship \( y = mx + b \) (where \( y \) is total cost, \( x \) is distance in miles), when \( x = 1 \), the \( y - \)value represents the total cost for a \( 1 - \)mile taxi ride. This includes the flat - charge (the \( y - \)intercept \( b \)) and the cost per mile (the slope \( m \)) for that single mile.
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The \( y - \)value when \( x = 1 \) represents the total cost of the taxi ride for a \( 1 - \)mile journey.