#### Answer

F

#### Work Step by Step

Inspecting the table and using mental math show us that the equation in selection F, $y=50x$, is true for each entry.
Substitute each given value for x to verify.
$100\overset?=50(2)$
$100=100\checkmark$
$200\overset?=50(4)$
$200=200\checkmark$
$250\overset?=50(5)$
$250=250\checkmark$
$400\overset?=50(8)$
$400=400\checkmark$
Substituting one of the given values for x does not result in the corresponding value for y for any of the other equations. To prove this, substitute the value of 2 for x. In the table, if x=2, y=100.
G) $100\overset?=100(2)$
$\ \ \ \ 100\ne200$
H) $100\overset?=2+50$
$\ \ \ \ 100\ne52$
I) $100\overset?=2+100$
$\ \ \ 100\ne102$