Question

Cayley says that the equation 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? Explain

Answer 1

The expression p = 1.5q is equivalent to 2/3p = q. Let's prove it.

$\begin{gathered} \frac{2}{3}p=q \\ p=\frac{3}{2}q \\ p=1.5q \end{gathered}$

Therefore, Cayley is correct because both expressions have the correct constant of proportionality.