The answer to this question is actually quite simple. In the formula n+10, the only process increasing the final value is the +10, whereas in 2n +3, n is multiplied by 2, meaning when n is bigger, 10 and 3 become irrelevant and don't effect the calculation in a major way. When n = 7, the answers of both formulas is equivalent to 17, which is why in the graph below the intersection point's y interception is 17, and the intersection point's x position is 7. When n >7, the 2n +3 line is higher than the n+10 line, showing that at that point the 2n+3 formula is has the greater answer. Below the intersection, however, the n+10 line is higher than the 2n+3 line. So really, the answer just depends on what n is.
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Kevin Hsu
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West Island School
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