Question

A proportional relationship is formed when y=1 and x=-4 what is the value of x when y=4

Answer 1

x = - 16

Explanation:

The equation relating two proportional quantities is

y = kx ← k is the constant of proportionality

To find k use the condition when y = 1, x = - 4

k =
`(y)/(x)` = -
`(1)/(4)`

y = -
`(1)/(4)` x ← equation of proportionality

when y = 4, then

4 = -
`(1)/(4)` x (multiply both sides by - 4 )

x = - 16