To represent the cost $C$ of a taxi ride in terms of the number of miles traveled $m$, we use the given information:

• Flat fee: $2.25
• Cost per mile: $1.25 per mile traveled

The equation is:

$C = 2.25 + 1.25m$

where:

• $C$ is the total cost of the ride,
• $m$ is the number of miles traveled.

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Would you like a breakdown of how we formed this equation?

Related Questions:

1. How much would a 10-mile ride cost using this equation?
2. If a ride costs $15, how many miles were traveled?
3. How does the equation change if the flat fee increases to $3?
4. What is the slope and y-intercept of this equation in graph form?
5. How do we use this equation to compare taxi fares from different companies?

Tip: The flat fee represents the y-intercept in a linear equation, while the per-mile charge is the slope.