Female students that participate: 51
male students that don’t: 30
Answer:
The differential equation which describes the mixing process is
.
Step-by-step explanation:
The mixing process within the tank is modelled after the Principle of Mass Conservation, which states that:

Physically speaking, mass flow of salt is equal to the product of volume flow of water and salt concentration. Then:

Given that
,
,
,
,
and
, the differential equation that describes the system is:



y = kx
'k' is the constant of proportionality, or otherwise known as constant of variation.
y = 90
x = 3
90 = k(3)
90 = 3k
3k/3 = 90/3
k = 30
The constant of proportionality is 30.
In the above statement, the number 3 is a common factor between the two terms in the statement, 3x and 3y. We can divide 3 into both numbers evenly. This is also called “factoring<span> out” 3. Finding the common factor allows us to apply the </span>Distributive Property<span> to the statement.
Hope this helps</span>