On a lunch menu, a turkey sandwich with a cup of soup is $6.00 and a
half of a turkey sandwich with a cup of soup is $3.75. assuming the half
sandwich costs exactly half as much as the whole sandwich, how much
does the cup of soup cost?

(what is the system using the elimination method)

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

0.85% : )

step-by-step explanation: