Question

if a and b are directly proportional and the value of a becomes 1/4 as much ,what happens to the value of b

Answer 1

Becomes 1/4 as much

Step-by-step explanation:

If a and b are directly proportional, this means we may write an equality between them if some proportionality constant, k, is included, so that:

`a=kb`

The equation shows that:

`k=(a)/(b)`

And since k is a constant, this would imply that increasing a by some fraction would also require b to increase by the same fraction.

In the context of this problem, we're given that a becomes 1/4 as much, meaning b should also become 1/4 as much to keep the same proportionality constant, k.