Question

If y=24 when x=6, find y when x=-4.

Answer 1

`\huge\boxed{y=-16}`

Explanation:

We have to note that this represents a proportional relationship. This means that every time x increases by 1, y will increase by a proportional value.

In order to solve for proportions, we can create a proportion fraction which basically puts two variables over each other. Let's put x over y.

`(x)/(y)`

We know that in the first fraction, x=6 and y=24.

`(6)/(24)`

And we know that x=-4 but we have an unknown y value.

`(-4)/(y)`

We can now set these proportions equal to each other and solve for the missing y using cross products.

• 
  `(6)/(24)=(-4)/(y)`
• 
  `y = (24 \cdot -4) / 6`
• 
  `y = -96 / 6`
• 
  `y = -16`

Hope this helped!