Selma walked from her home to her friend’s house. The travel graph shows Selma’s journey to her friend’s house.

Selma spent 1 hour at her friend’s house.
She then walked home at a steady speed.
Selma took 45 minutes to walk home

What was the total distance that Selma walked?

me

step-by-step explanation:

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