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;

$m=\frac{y_2-y_1}{x_2-x_1}$

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;

$\begin{gathered} m=\frac{50-25}{2-1} \\ m=\frac{25}{1} \\ m=25 \end{gathered}$

ANSWER:

The possible slope is 25