Respuesta :
Answer:
3.7
Step-by-step explanation:
Inversely means we are taking the constant and dividing it.
So y varies inversely with x means "y=k/x".
k is a constant. We can find the constant if they give us a point on this curve.
The constant is a number that doesn't change no matter your input and output.
[tex]y=\frac{k}{x}[/tex]
So they actually give us k=8.88 and y=2.4 so let's input this:
[tex]2.4=\frac{8.88}{x}[/tex]
We need to solve this equation for x. You can do your favorite thing in cross-multiply. But how, Freckles? Well just slap a 1 underneath that 2.4. You can do that because 2.4/1 is still 2.4.
[tex]\frac{2.4}{1}=\frac{8.88}{x}[/tex]
Cross-multiply:
[tex]2.4x=8.88(1)[/tex]
[tex]2.4x=8.88[/tex]
Divide both sides by 2.4:
[tex]x=\frac{8.88}{2.4}[/tex]
[tex]x=3.7[/tex] when [tex]y=2.4[/tex].
