E-C = 9¹³ - 9¹¹ = 9¹¹(9² - 1) = 9¹¹(80).
Since D-A = 3 spaces on the number line and E-C = 2 spaces on the number line, we get the following ratio:
(D-A)/(E-C) = 3/2
D-A = (3/2)(E-C).
Thus:
D-A = (3/2)(E-C) = (3/2)(9¹¹)(80) = 120(9¹¹).
The correct answer is E.
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