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

Answer:

Becomes 1/4 as much

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:

$k=\frac{a}{b}$

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.