x: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
y: 5, 10, 20, 40, 80, 160, 320, 640, 1280, 2560.
Create an equation to represent y: y = ___________

Question

x: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
y: 5, 10, 20, 40, 80, 160, 320, 640, 1280, 2560.
Create an equation to represent y: y = ___________

bahrom7893 · Answer

x = 0
y = 5
Doesn't tell us much It might be y = x+5, but we can't be sure yet, so let's continue.

bahrom7893 · Answer

x = 1
y = 10
Well now we can confirm that y is not x+5, since 1+5=6, not 10. So we scratch our original equation.

anonymous · Answer

anonymous · Answer

that might help if it turns out to be a quadratic

bahrom7893 · Answer

Thanks, I was getting stuck lol

bahrom7893 · Answer

It looks like it's $$2^x*5$$ so far. Let's check..

bahrom7893 · Answer

$$2^0*5=1*5=5$$$$2^1*5=2*5=10$$

bahrom7893 · Answer

So far so good.. Let's try the next one:
x=2; y = 20:
$$y=2^x*5=>2^2*5=4*5=20$$And the next one:
x=3; y=40:
$$y=2^x*5=>2^3*5=8*5=40$$

bahrom7893 · Answer

$$2^4*5=16*5=80$$

bahrom7893 · Answer

etc.
Just make sure they all follow this pattern, but I think the equation is: $$y=2^x*5$$

anonymous · Answer

Thank you!

bahrom7893 · Answer

You still have to make sure it works for all the other numbers.

anonymous · Answer

It does.

bahrom7893 · Answer

Good, then that's the answer.