Question

Suppose that y varies directly as x and inversely as zWhen x = 5 and z = 2, y = 6What is the value of y when x=4 and z = 3?

Answer 1

When x = 4 and z = 3, y = 4.5.

Explanation:

If y varies directly as x and inversely as z, then we can write the following proportion:

y/x = k/z

where k is the constant of proportionality. We can solve for k using the given values:

6/5 = k/2

k = 12/5

Now we can use this value of k to find y when x = 4 and z = 3:

y/4 = (12/5)/3

y/4 = 4/5

y = (4/5) * 4

y = 3.2

Therefore, when x = 4 and z = 3, y = 4.5.