The tables each show distance traveled over time of four different vehicles. which table represents a linear relationship? time (hours) 2 6 7 10 14 distance (miles) 140 360 415 580 800 time (hours) 1 5 9 13 17 distance (miles) 55 110 165 210 255 time (hours) 2 4 6 8 10 distance (miles) 24 56 96 144 200 time (hours) 1 2 3 4 5 distance (miles) 3 9 27 81 243

6/20

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

correct answer is b. 27/8

step-by-step explanation: