The function f(x) = 3x^2 + x + 1 represents the number, in thousands, of wrist bands Lin expects to sell x weeks after opening her shop. What is the average rate of change over the interval 1 ≤ x ≤ 2?

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Step-by-step explanation:

rx and sx

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