Understanding Taxi Journey Calculations in Mathematics
The concept of calculating taxi fares provides an excellent real-world application of linear equations and practical mathematics that Year 8 Maths test students commonly encounter. This problem demonstrates how mathematical formulas are used in everyday situations, making it particularly relevant for KS3 math year 8 AQA main paper 1 study materials.
When working with taxi fare calculations, students learn to apply a basic formula: Price = Fixed Fee + Ratepermile×Distance. In this specific example, the formula is Price = 3 + 2×miles, where £3 represents the base fare and £2 is the rate per mile. This type of problem helps students understand how variables and constants work together in practical scenarios.
Definition: Linear equations in the form y = mx + c, where 'm' represents the rate of change inthiscase,pricepermile and 'c' represents the fixed value basefare.
For the 12-mile journey example, students must systematically solve the equation by first multiplying the distance by the rate 12×£2=£24, then adding the base fare £24+£3=£27. This demonstrates the importance of order of operations in mathematical calculations.