Two quantities A and B are directly proportional to each other. The value of A becomes 1/3 as much. What will happen to the value of B

B will become 1/3 as much.

Thank you

If two quantities, A and B, are directly proportional to each other, it means that as one quantity changes, the other changes in the same ratio.

Given that the value of A becomes 1/3 as much, this means that A decreases by a factor of 1/3. In other words, the new value of A is 1/3 times the original value of A.

Since A and B are directly proportional, if A decreases by a factor of 1/3, B will also decrease by the same factor.

So, the value of B will also become 1/3 as much.

If two quantities, A and B, are directly proportional to each other, it means that as one quantity increases or decreases, the other quantity will also increase or decrease in the same ratio.

In this case, if the value of A becomes 1/3 as much, it means A has decreased by a factor of 1/3. To find out what will happen to the value of B, we need to determine the ratio between the initial value of A and B.

Let's say the initial value of A is 'a' and the initial value of B is 'b'. Since A and B are directly proportional, we can write the following equation:

A = k * B

Where 'k' is the constant of proportionality.

If the value of A becomes 1/3 as much, it means the new value of A is (1/3)a. Plugging this into the equation, we get:

(1/3)a = k * B

To find the new value of B, we need to solve for B. Rearranging the equation, we get:

B = (1/3a) * k

So, the value of B will become (1/3a) times the initial value of B. It will decrease in the same ratio as A.

Therefore, the value of B will also become 1/3 as much.