Math Problem Statement

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

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:

  1. First mile cost: $1.10
  2. Remaining money after the first mile: 59.11.1=58.059.1 - 1.1 = 58.0
  3. Cost for each additional mile: $1 per mile.
  4. Maximum number of additional miles: 58.01=58.0 miles\frac{58.0}{1} = 58.0 \text{ miles}
  5. Total distance: 1 mile+58.0 miles=59.0 miles1 \text{ mile} + 58.0 \text{ miles} = 59.0 \text{ miles}

Thus, the maximum distance you can ride is 59.0 miles.

Do you need further details or have any questions?

Related Questions:

  1. If the total money available was $100, what would the maximum distance be?
  2. How would the answer change if the first mile cost $1.50 instead of $1.10?
  3. What if the additional miles were charged at $1.50 each instead of $1.00?
  4. How would the total distance change if you had a discount on the first mile, reducing it to $0.90?
  5. 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