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20 In the function \( C(x)=21.25+0.25 x, C(x) \) represents the total cost, in dollars, for a passenger to ride a shuttle service for \( x \) miles. What is the total cost for a passenger to ride the shuttle for 50 miles? \( \$ 50.25 \) \( \$ 26.25 \) \( \$ 33.75 \)

Ask by Pena Peterson. in the United States
Dec 07,2024

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The total cost for 50 miles is \( \$33.75 \).

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The Deep Dive

To find the total cost for a passenger to ride the shuttle for 50 miles, you simply substitute \( x = 50 \) into the function \( C(x) = 21.25 + 0.25x \). So, \( C(50) = 21.25 + 0.25(50) = 21.25 + 12.5 = 33.75 \). Therefore, the total cost for a passenger to ride the shuttle for 50 miles is \( \$33.75 \). Shuttle services, much like modern rideshare companies, have evolved from simple taxi-like services to providing complex routing and fare structures. Understanding how these costs are calculated can help passengers budget wisely and predict expenses depending on their travel distance, making every journey more affordable and enjoyable!

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