Math Problem Statement
Solution
The question from the image reads:
"The cost of a taxi ride is $1.1 for the first mile and $1 for each additional mile or part thereof. Find the maximum distance we can ride if we have $59.1. Enter your answer as an integer or a decimal. If needed, round to the nearest tenths of miles."
Solution:
- First mile cost: $1.10
- Remaining money after the first mile:
- Cost for each additional mile: $1 per mile.
- Maximum number of additional miles:
- Total distance:
Thus, the maximum distance you can ride is 59.0 miles.
Do you need further details or have any questions?
Related Questions:
- If the total money available was $100, what would the maximum distance be?
- How would the answer change if the first mile cost $1.50 instead of $1.10?
- What if the additional miles were charged at $1.50 each instead of $1.00?
- How would the total distance change if you had a discount on the first mile, reducing it to $0.90?
- What would be the cost for a ride covering 75 miles under the current pricing?
Tip:
Always start by subtracting the base cost (like the first mile) from the total available money before calculating the remaining distances.
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Math Problem Analysis
Mathematical Concepts
Arithmetic
Linear Equations
Formulas
Total cost = $1.10 + ($1 × additional miles)
Remaining distance = (Total money - first mile cost) ÷ cost per additional mile
Theorems
Linear Relationships
Suitable Grade Level
Grades 6-8