Question

X is inversely proportional to y. X is directly proportional to z squared. When y = 4, x = 5.5. Work out the value of x when y = 5.

Answer 1

4.4

Explanation:

X is inversely proportional to y, so x = k/y where k is just a constant.

X is directly proportional to z squared, so x = kz^2 where k is a constant

Here, The second relationship doesn't even matter.

Plug the values for x and y into the first equation and solve for k.

5.5=k/4

k=5.5*4

k=22

Now plug k and the second y back in.

x=22/5

x=4.4