Solve using u for all possible values of x.

Step-by-step explanation:

We have the equation:

Notice that this resembles a quadratic. So, we can use u-substitution to solve for the values of x.

Let . Then:

Perform the substitution:

We can now factor using -9 and -4:

Zero Product Property:

Solve for each case:

Substitute back u:

Take the square root of both sides for both equations. Since we’re taking an even root, we will need plus/minus. Therefore, our possible values of x are:

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.