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Here's the graph of the function $ c(m) = 3.5 + 2.5m $ representing the cost of a taxicab ride as a function of distance from the airport. The red point on the graph at $ (8, 23.5) $ indicates the cost for a ride to a hotel 8 miles away from the airport, which is \$23.50.

Would you like more details on this topic or have any other questions?

Here are some related questions you might consider:

1. How would the cost function change if the per-mile rate increased?
2. What would the intercept represent in a real-life scenario?
3. How would you calculate the cost for a round trip?
4. Can you find the distance if the total cost is given, say \$50?
5. How do variations in flat rates affect the overall cost function?

Tip: When analyzing a linear cost function like this, consider the slope and intercept for insights into variable and fixed costs respectively.

A taxicab ride costs $3.50 plus $2.50 per mile. Let m be the distance (in miles) from the airport to a hotel. Find and graph the function c(m) that represents the cost of taking a taxi from the airport to the hotel. Also, determine how much it costs if the hotel is 8 miles from the airport.

Learn how to calculate and graph a linear cost function for a taxi ride, where the fare starts at $3.50 and increases by $2.50 per mile. This example calculates the total cost for a ride of 8 miles and provides a step-by-step graphing solution. Suitable for students in Grades 7-9.

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