A contractor needs to fence a rectangular backyard for a client. The length of the backyard should be at least 150 ft, and the distance around should be no more than 450 ft. Which system of inequalities and graph represents the possible dimensions of the backyard?
A
B
v≥150
2x+2v≤450
12-150
2x+2v≤450
C
y =150
2x+2y5450
The correct system of inequalities and graph that represents the possible dimensions of the backyard is:
B
x ≥ 150
2x + 2y ≤ 450
Explanation:
- The first inequality x ≥ 150 represents the length of the backyard should be at least 150 ft.
- The second inequality 2x + 2y ≤ 450 represents the distance around the backyard should be no more than 450 ft.
- The graph would show all the possible values of x and y that satisfy these inequalities.