GCSE Secondary Maths Age 13-17 - Ratio, Proportion & Rates of Change: Direct and Inverse Proportion - Explained

The video tutorial explains how to solve a problem involving both direct and inverse proportions. It begins by defining direct and inverse proportions, then demonstrates how to set up equations for each type. The tutorial walks through finding the constants of proportionality and combining the equations to express Y in terms of X. The final answer is simplified, and the marking scheme for the problem is discussed. The tutorial emphasizes understanding the rules of proportions and careful problem-solving.

What is the relationship between D and X when D is directly proportional to X^2?

How do you find the constant of proportionality K in a direct proportion?

What values are substituted into the equation to find K when X is equal to 2?

Explain the process of rearranging the equations to isolate Y in terms of X.

What is the final formula for Y in terms of X after simplification?

Describe the significance of the constant of proportionality in direct and inverse proportions.

What challenges do students face when dealing with direct and inverse proportions combined?