Respuesta :
The required value of the constant of proportion and x is (-12 / 5) and (⅙) respectively.
What is the constant of proportion?
A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.
Solving for the value of constant of variation and x
When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion —-- 1
Now, find k for, given x = 3 / 2 and y = -5 / 8, we need to put these values in equation 1, i.e.
-5 / 8 = k(3 / 2)
k = -12 / 5
Further, calculate x for given y = (⅖) i.e.
2 / 5 = (- 12 / 5) × (x)
x = -⅙
Hence, the required value of constant of variation and z is -12 / 5 and -⅙ respectively.
To learn more about the constant of proportion, visit the link:
https://brainly.com/question/13713529
#SPJ4
