The answer to your question is:
1/3x + 1/2x = x - 9
If

is the amount of salt in the tank at time

, then the rate at which this amount changes over time is given by the ODE


We're told that the tank initially starts with no salt in the water, so

.
Multiply both sides by an integrating factor,

:




Since

, we have

so that the amount of salt in the tank over time is given by

After 10 minutes, the amount of salt in the tank is
Answer:
It should be -5/2 for the points (-6,8) (-16,33)
Step-by-step explanation:
Answer:
Option C is correct.
Step-by-step explanation:
Points given are
(1,2) and (3,8)
The formula used for slope is:

x₁ = 1, x₂=3, y₁=2 and y₂=8

So, slope =3
Option C is correct.