If quantity A is directly proportional to quantity B, then if B increases 10 times, A must increase 10 times.
If quantity A is directly proportional to quantity B, it implies that there exists a constant ratio between A and B. Mathematically, we express this relationship as A = k * B, where k is the constant of proportionality.
In such a scenario, if B increases by a certain factor, say 10 times, then A must also increase by the same factor to maintain the proportionality.
Therefore, if quantity B increases 10 times, quantity A must also increase 10 times. This is because the constant of proportionality (k) remains unchanged, and any change in B is directly reflected in A.
The relationship between A and B is such that they scale together, maintaining the same ratio throughout. This principle is fundamental to the concept of direct proportionality in mathematics, providing a straightforward method to predict changes in one quantity based on changes in the other.