Tyshawn is ordering a taxi from an online taxi service. He has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far he travels. He wrote an equation to represent his total cost, \( y=4.5+2.4 x \), where \( y \) represents the total cost in dollars and cents, and \( x \) represents the number of miles he travels. What could the number 4.5 represent in the equation?
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The number 4.5 in the equation represents the flat charge that Tyshawn has to pay just for ordering the taxi. This is a fixed fee that applies regardless of the distance he travels, meaning he spends at least $4.50 before factoring in the mileage costs. Additionally, it’s common for taxi services to have this base fare to cover initial costs, like the driver’s time and vehicle use, which establishes a starting point for the cost before the per-mile rate kicks in. So, that means when Tyshawn hops in, he’s already spent $4.50 before he’s even gone a single mile!