Cayley says the the equations q=1.5q and 2/3p=q both represent the same proportional relationship. mariah says that cant be true because the constant proportionality are different. with which student do you agree? explain.

Cayley was correctt

Step-by-step explanation:

The correct question is

Cayley says that the equations p=1.5q and 2/3p=q both represent the same proportional relationship. Mariah says that can't be true because the constants of proportionality are different. With which student do you agree?

we know that

A relationship between two variables, p, and q, represent a proportional variation if it can be expressed in the form or

In this problem we have

----> equation A

---> equation B

Rewrite the equation A

solve for q ----> That means, isolate the variable q

Divide by 1.5 both sides (remember that 1.5=3/2)

so

----> equation A

Equation A and equation B represent the same line

therefore

The constant of proportionality is the same in both equations

Both represent the same proportional relationship

Cayley was correct

Let's solve the equation:

9x + 27 =  9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2

9x + 27 = 9x + 18 + 9 ← Combine like terms

9x + 27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

0 = 0  

{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}

hope this helps