Answer:
Constant of proportionality: 
Equation: 
Step-by-step explanation:
By definition, Direct proportion equations have the following form:

Where "k" is the Constant of proportionality.
In this case, let be "c" the the amount of caffeine consumed (in mg) from a glass of Diet Pepsi and "d" the number of ounces that was drank.
So, the equation that represents this relationship will have this form:

Then, the first step is to find the Constant of proportionality "k".
Knowing that:

We can substitute values into the equation:

Now, solving for "k", we get:

Therefore, we can write the following equation that represents that proportional relationship:

Answer:
-8/3 = d OR -2 2/3
Step-by-step explanation:
9d-4d-2d+8=-3d Well first combine all like terms
3d+8=-3d Now isolate the variable by subtracting 4d from both sides
3d(-3d) + 8= -3d (-3d)
8= -3d Divide both sides by -3
-8/3 = d OR -2 2/3
If you would like to know what is the solution of the inequality x/3 > 1, you can calculate this using the following step:
x/3 > 1 /*3
x > 1 * 3
x > 3
The correct result would be x > 3.
We do like the following:
Set the first number is a and the second is b.
We have two equations: a+2xb=24, 2xa+b=21
And we have 2xa+4xb=48 or 2xa=48-4xb
So: 48-4xb+b=21 or -3xb=21-48=-27 and we got b=-27:(-3)=9 and a= 6
a=6 and b=9