Question

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

Answer 1

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