QUESTION IMAGE
Question
20 jumps per min
25 jumps per min
30 jumps per min
35 jumps per min
in the previous problem, what is the slope of melissas graph?
Step1: Recall slope formula
The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, we can consider the number of minutes as $x$ - values and the number of jumps as $y$ - values. If we assume the time - intervals are equal (say 1 - minute intervals), and we take two consecutive points. Let's take the first two points: $(1,20)$ and $(2,25)$.
Step2: Calculate the slope
$m=\frac{25 - 20}{2 - 1}=\frac{5}{1}=5$. We can also take other consecutive points, for example, $(2,25)$ and $(3,30)$. Then $m=\frac{30 - 25}{3 - 2}=\frac{5}{1}=5$. Or $(3,30)$ and $(4,35)$, $m=\frac{35 - 30}{4 - 3}=\frac{5}{1}=5$.
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