6. The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

A. 212; your car travels 212 miles.

B. 1/53; Your car travels 53 miles every 1 hour.

C. 53/1; Your car travels 53 miles every 1 hour.

D. 10; your car travels for 10 hours.

42.4

step-by-step explanation:

convert to decimal

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