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Lexi is paying back a $200 loan at $25 per week. What is the possible slope?

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From the information available, Lexi is paying back a $200 loan at $25 per week. That means for each week up till the last payment, he/she would be having the following ordered pairs;


(1,25),(2,50),(3,75),(4,100),(5,125)\ldots(8,200)

To determine a possible slope for this, we shall use the formula for calculating a slope given two points as follows;


m=(y_2-y_1)/(x_2-x_1)

Taking the first and second point, we would have;


\begin{gathered} (x_1,y_1)=(1,25) \\ (x_2,y_2)=(2,50) \end{gathered}

Therefore, the slope would be calculated as follows;


\begin{gathered} m=(50-25)/(2-1) \\ m=(25)/(1) \\ m=25 \end{gathered}

ANSWER:

The possible slope is 25

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