Z varies directly as x and inversely as y. If z = 9 when x = 24 and y = 8, find y when
x = 10 and z= 5.

y = 6.

Step-by-step explanation:

z = kx/y

9 = k*24/8

24k = 72

k = 3.

So z = 3x/y

When x = 10 and z = 5

5 = 3*10/y

5y = 30

y = 6.

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.