The homeowner is worried about the work needed to maintain a grass lawn and flower
beds, so she is now looking at some
low-maintenance materials
(600, 200)
200
150
(500, 100)
100
She is considering artificial turf, which costs
$15 per square foot to install and gravel
which costs $3 per square foot. She may use
a combination of the two materials in
different parts of the yard. Her budget is still
$3.000
(200/1001
SO
1000
Here is a graph representing some
constraints in this situation
200 400 600 800
gravel (square feet)
3. The point (200, 100) is located to the left and below the line
a. Does that combination of turf and gravel meet the homeowner's constraints?
Explain or show your reasoning.
b. Choose another point in the same region to the left and below the line). Check
If the combination meets the homeowner's constraints.
4. Write an inequality that represents the constraints in this situation. Explain what the
solutions mean and show the solution region on the graph