The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples. Apple Cost Weight (lb) Total cost ($) 1 2 4 8 6 12 10 20 When the weight of apples is increased by a factor of 4, by what factor does the total cost increase? 03 ( 8 Mark this and return Save and Exit Next Submit 99+ 23​

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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