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 of a cab fare after traveling 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 after traveling miles is given by:
Where:
- is the total cost in dollars.
- 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:
- What would the total cost be after traveling 5 miles?
- How many miles can you travel if the total cost is $25?
- What is the rate of increase in cost per mile?
- How does the flat rate affect the total cost for short trips?
- 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
-
Suitable Grade Level
Grades 6-8