Question

Mindy says that the the equation p=1.5q and 2/3p=q both represent the same proportional relationship. Vivian says that cannot be true because the constants of proportionality are different. which student is correct? Explain.

Answer 1

Mindy is correct

Explanation:

the equation of proportion between variables p and q is

p = kq ← k is the constant of proportionality

given

p = 1.5 q ← with k = 1.5

given

`(2)/(3)` p = q ( multiply both sides by 3 to clear the fraction

2p = 3q ( divide both sides by 2 )

p =
`(3)/(2)` q = 1.5q ← with k = 1.5

constant of proportionality k = 1.5 is the same in both cases

Then Mindy is correct