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20 jumps per min 25 jumps per min 30 jumps per min 35 jumps per min in …

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?

Explanation:

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 $(4,35)$, $m=\frac{35 - 30}{4 - 3}=\frac{5}{1}=5$.

Answer:

5