If a and b vary directly and a = 6 when b = 4, what will be the value of a when b = 16? 24 18 3/2

Hi!

So let's call the new value of b b2, and the new value of a a2.

So we have a = 6, b = 4, b2 = 16, and a2 = ?

Since 16/4 = 4, we can infer that a · 4 = a2. So..

6 · 4 = 24

The answer is 24

Hope this helps! :)

If the function assumes a is multiplied by b, where a = 6 and b = 4, this means the result is 24. We won't change the value result, so if b was multiplied by 4, we need to find 16/4 and this is also 4, so when we multiply this value with 6, it's once again 24. Therefore, the answer is 24. The other options are inaccurate.

The answer for you question is b