Question

The variables y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?

Answer 1

x =
`(4)/(5)`

Explanation:

since the variables are in proportion then the equation relating them is

y = kx ← k is the constant of proportionality

to find k use the given condition, y = 15 when x = 3

k =
`(y)/(x)` =
`(15)/(3)` = 5, hence

y = 5x ← is the equation relating x and y

when y = 4, that is

5x = 4 ( divide both sides by 5 )

x =
`(4)/(5)`

Answer 2

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