Help please! Arnav is selling boxes of cookies.
He sells each box for $3.75.
His goal is to make more than $30.
How many boxes of cookies could he sell to reach his
goal?

No she will not reach her goal because 6 boxes would get her $22.50

She would have to sell at least 8 to reach her goal

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