Layla borrowed some money from her friend in order to help buy a new video game system. Layla agreed to pay the friend back some amount every week until her loan was paid off. Let LL represent the amount Layla owes her friend after tt weeks. A graph of LL is shown below. Write an equation for LL then state the yy-intercept of the graph and determine its interpretation in the context of the problem.

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is