Question

If y varies directly as z and inversely as x and y=-18 and z=3 when x=6, find y when x=5 and z=-5. Show all work.

Answer 1

if y varies directly as z, then this implies:\[y=k_1z\]where \(k_1\) is some constant.
Similarly, if y varies inversely as x, then this implies:\[y=\frac{k_2}{x}\]where \(k_2\) is some other constant.
Putting both of these together we get:\[y=\frac{kz}{x}\]where \(k\) is just another constant.

Now use the first set of values given to you to work out what \(k\) should be and then use that to work out the value of y for the second set of values.

Answer 2

Are you still stuck> @hellosunshinexo

Answer 3

yeah, what's the answer

Answer 4

Direct answers are marked as cheating. sorry. :(