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two quantities are related, as shown in the table:

x y
2 10
4 9
6 8
8 7

which equation best represents the relationship?
y = 1 over 2 x + 11
y = negative 1 over 2x + 11
y = 2x + 10
y = 2x + 11

y = negative 1 over 2x + 11

Step-by-step explanation:

x is replaced with each number that is in that side of the table. I tried each answer and filled in the blanks (the x).

x=half

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4