SOLUTION: kaitlin makes $8 an hour working x hours at the grocery store and $6 an hour working y hours at the deli. she wants to earn at least $80 a week, but she can only work a maximum of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: kaitlin makes $8 an hour working x hours at the grocery store and $6 an hour working y hours at the deli. she wants to earn at least $80 a week, but she can only work a maximum of       Log On


   

Question 1105801: kaitlin makes $8 an hour working x hours at the grocery store and $6 an hour working y hours at the deli. she wants to earn at least $80 a week, but she can only work a maximum of 20 hours. write a system of inequalities and graph the system to show the possible numbers of hours that she can work at each job
Answer by ikleyn(52925) About Me  (Show Source):
You can put this solution on YOUR website!
.
 X +  Y <= 20,    (1)
8X + 6Y >= 80.    (2)
X >= 0,  Y >= 0   (3)


The plot is below:






Plots x + y = 20 (red)  and  8x + 6y = 80 (green)


The solution to the system of inequalities (1),(2) and (3) is the region in QI in the form of a quadrilateral confined 
between the red and the green lines (including the lines).