Math Problem Statement

The number of commuter road journeys within five towns were recorded across two years. The table below gives the total number (millions) of all road journeys for the two years and the percentage change across three types of transport. Town Number of commuter road journeys Percentage change across types of commuter road journey Year 1 Year 2 Car Bus Bicycle Bircham 10.9 11.2 7% 5% 4% Holedale 6.8 6.3 -6% -6% 1% Mitton 7.1 7.2 4% -2% 2% Starbrough 6.6 6.8 4% 6% 5% Waverly 10.1 9.7 2% -4% -3%

Which town has the largest number of commuters travelling by bicycle?

Solution

To determine which town has the largest number of commuters traveling by bicycle, we need to calculate the number of bicycle commuters in Year 2 for each town, based on the percentage change provided.

We can assume the number of journeys by each type of transport in Year 1 was divided between car, bus, and bicycle. Then, based on the percentage changes, we calculate the estimated values for Year 2, particularly for bicycles. However, without the breakdown of Year 1 into specific transport types, we can use the overall percentage change in bicycle journeys to make inferences about trends.

If we assume the percentage change given reflects the overall change in the proportion of people using bicycles in each town from Year 1 to Year 2, the town with the largest increase in bicycle commuters is Bircham and Starbrough (both with a 5% increase).

However, the town with the largest total number of commuters in Year 2 is Bircham with 11.2 million journeys, suggesting Bircham likely has the largest number of people commuting by bicycle.

Thus, the town with the largest number of bicycle commuters is Bircham.

Would you like further details or clarifications?

Here are 5 related questions:

  1. How would we calculate the exact number of bicycle commuters if the proportion for Year 1 was provided?
  2. What might influence the percentage change in bicycle commuters in each town?
  3. Could external factors like road conditions or policy changes affect commuter behavior in these towns?
  4. What conclusions can we draw from the fact that Holedale has a negative change in car and bus journeys but a positive change in bicycle journeys?
  5. How could towns improve their infrastructure to encourage more bicycle commuting?

Tip: When comparing percentage changes, always consider the total base number to understand the real-world impact of those changes.

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Math Problem Analysis

Mathematical Concepts

Percentage Change
Comparative Analysis
Estimation

Formulas

Percentage Change = (New Value - Old Value) / Old Value * 100

Theorems

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Suitable Grade Level

Grades 10-12