Question

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

Answer 1

Answer:

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

Step-by-step 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.

$\frac{x}{y}$

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

$\frac{6}{24}$

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

$\frac{-4}{y}$

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

• $\frac{6}{24}=\frac{-4}{y}$
• $y = (24 \cdot -4) \div 6$
• $y = -96 \div 6$
• $y = -16$

Hope this helped!