Susie bought six pens at the office supply store and paid $4.14. larry bought a dozen of the same pens at the same store and paid $8.28.

what is the constant of variation in this situation?

4.14/6 = 0.69 cents per pen

8.28/12 = 0.69 per pen

 the constant is the price per pen

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