When the prices were ($5, $1), Vanessa chose the bundle (x, y) = (6, 3). Now at the new prices, (p_x, p_y), she chooses the bundle (x, y) = (5, 7). For Vanessa's behavior to be consistent with the weak axiom of revealed preference, it must be that

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Quizplus · Accepted Answer

According to the weak axiom of revealed preference, if Vanessa now prefers (x=5,y=7) to her previous choice of (x=6,y=3), then (x=6,y=3) must not be affordable at the new prices. This implies that 4p_y < p_x, since if 4p_y is greater than or equal to p_x, then bundle (x=6,y=3) would still be affordable at the new prices and Vanessa's choice would have been inconsistent with the weak axiom of revealed preference.

When the Prices Were ($5, $1), Vanessa Chose the Bundle