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.