Samantha needs to bake at least 120 pot pies to sell at her restaurant. she can bake 12 pot pies per hour and 15 veggie pot pies per hour. write an inequality that represents the situation. let X be the number of hours she spends making chicken pot pies and y be the number of hours she spends making veggie pot pies.

y>(line under >) - 4/5x + 8

Step-by-step explanation:

Phrase "at least" indicates that the total number of pies is greater than or equal to 120.

The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.

Use this information to create the inequality:

12x + 15y >(line under >) 120

Simplify by solving for y to get this inequality:

y >(line under >) - 4/5x + 8

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