Answer:
Direct proportion and inverse proportion are two types of relationships between two variables.
Direct proportion is a relationship in which two variables increase or decrease together at the same rate. In other words, if one variable increases, the other variable also increases, and if one variable decreases, the other variable also decreases. The mathematical expression for direct proportion is:
y = kx
where y is the dependent variable, x is the independent variable, and k is a constant of proportionality.
On the other hand, inverse proportion is a relationship in which two variables change in opposite directions. In other words, if one variable increases, the other variable decreases, and if one variable decreases, the other variable increases. The mathematical expression for inverse proportion is:
y = k/x
where y is the dependent variable, x is the independent variable, and k is a constant of proportionality.
So, the main difference between inverse proportion and direct proportion is the direction of change between the two variables. In direct proportion, the two variables change in the same direction, while in inverse proportion, the two variables change in opposite directions.