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Question
mr. vance recorded the amount he spent on gas each month to see if it wo be cheaper to take the train to work. amount mr. vance spent on gas june $59 july $52 august $53 september $59 october $53 according to the table, when was the rate of change greater? between june and september between july and august
Step1: Calculate rate of change between June and September
Rate of change formula: $\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 6$ (June), $y_1 = 59$; $x_2 = 9$ (September), $y_2 = 59$.
$\frac{59 - 59}{9 - 6}=\frac{0}{3}=0$
Step2: Calculate rate of change between July and August
$x_1 = 7$ (July), $y_1 = 52$; $x_2 = 8$ (August), $y_2 = 53$.
$\frac{53 - 52}{8 - 7}=\frac{1}{1}=1$
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between July and August