Posted by Jane on .
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft, and the distance around should be no more than 380 ft. Write a system of inequalities that models the possible dimensions of the garden. Graph the system to show all possible solutions.
let the length be x
let the width be y
so 2x + 2y < 380
x + y < 190
also x > 110
draw a vertical line (dotted) at x = 110
shade in the region to the right of that line
draw the line x+y = 190 , use the intercepts, its easy that way
shade in the region below that line
The region shaded between the two lines and above the x-axis represents your solution. Any point in that region satisfies both conditions.
I suggest using 1 unit on your grid to be 50 ft
Given: L >= 110 Ft., P <= 380 Ft.
P = 2W + 2*110 <= 380,
2W + 220 <= 380,
2W <= 380 - 220,
2W <= 160,
W <= 80 Ft.
2L + 2W <= 380,
Divide both sides by 2:
L + W <= 190,
Let: L = Hor., W = Ver.
L + W <= 10. Scale factor = 19.
Actual values obtained by multiplying by 19.
Graph: L + W = 10, The boundary line.
(0,10) = (0,190)
(10,0) = (190,0).
All points on and below the boundary
line will satisfy the inequality.
Use the coordinates to the rt of = sign for L + W <= 190.
How do you find out if your boyfriend is lying to you??? My friend Racheal has this problem.
guys are trouble. im staying single till im 19. she shoult do the same.
Um, that didn't really help???
bye. do you have a cell???
YEH! 803.244.9672. you can call me
Why would you post your phone number? I could totally call you right now, which i wont but still. You are insane.
Find the values of x that satisfy the inequality -3 > 11 + 2x
Death By Geometry,
The answer is C