The variable z is directly proportional to x, and inversely proportional to y. when x is 16 and y is 5, z has the value 16. what is the value of z when x= 21, and y= 14 round to at least the thousandths place if needed.

z = 7.5

Step-by-step explanation:

Given that z is directly proportional to x and inversely proportional to y then the equation relating them is

z = ← k is the constant of proportionality

To find k use the condition when x = 16, y = 5, z = 16, then

k = = = 5

z = ← equation of proportionality

When x = 21, y = 14, then

z = = 7.5