Math Problem Statement

A taxi company charges ​$4.65 4.65 plus ​$3 3.00 for each mile traveled. Let y be the total cost of a cab fare after x miles.

Solution

The total cost yy of a cab fare after traveling xx miles can be represented by a linear equation. The taxi company charges a flat rate of $4.65 for just getting into the cab, plus an additional $3.00 for each mile traveled.

Thus, the total cost yy after traveling xx miles is given by:

y=4.65+3.00xy = 4.65 + 3.00x

Where:

  • yy is the total cost in dollars.
  • xx is the number of miles traveled.

Do you want further details on how this equation works or any other related questions?

Here are 5 related questions:

  1. What would the total cost be after traveling 5 miles?
  2. How many miles can you travel if the total cost is $25?
  3. What is the rate of increase in cost per mile?
  4. How does the flat rate affect the total cost for short trips?
  5. How would the equation change if the per-mile rate increased?

Tip: Always identify the fixed costs (like the flat rate) and variable costs (per-mile charges) to form linear equations easily.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Algebra
Cost Analysis

Formulas

y = 4.65 + 3.00x

Theorems

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Suitable Grade Level

Grades 6-8