In order to predict future housing needs for the population of 2 towns, the populations of Pearville and Bacon City have been monitored for the last 4 years. The results are shown on the graph. If both towns continue to grow at their current rates, which town will have the largest population at year 10 of the study?

where is the table?

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step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584