SOLUTION: At most 500 feet of fencing is available for a steer pasture(assuming it's a rectangle). Ther is only space for the pasture to be 100 feet wide. a. Write a system of two linear i

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: At most 500 feet of fencing is available for a steer pasture(assuming it's a rectangle). Ther is only space for the pasture to be 100 feet wide. a. Write a system of two linear i      Log On


   



Question 175770This question is from textbook
: At most 500 feet of fencing is available for a steer pasture(assuming it's a rectangle). Ther is only space for the pasture to be 100 feet wide.
a. Write a system of two linear inequalities that describe this situation.
y < or = 100, with y being the width
2y + 2x < or equal to 500, which became y < or equal to -x + 250
b. Graph the system to show all possible solutions.
Drew a horizontal line on graph at y-axis 100, and shaded below the line.
Wasn't sure what to do with 2nd equation in graphing, particularly the slope. Feeling really stupid about this. :) :( Thanks for any help possible!
This question is from textbook

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
y+%3C=+100
2x+%2B+2y+%3C=+500
2y+%3C=+-2x+%2B+500
y+%3C=+-x+%2B+250
The line you draw on the graph is
y+=+-x+%2B+250
This is in the form
y+=+mx+%2B+b where m is the slope, so
m+=+-1
A slope of -1 is perpendicular to a slope of 1
+graph%28+500%2C+500%2C+-50%2C+300%2C+-50%2C+300+%2C0%2Ax+%2B+100%2C-x+%2B+250%29+