The coordinate grid shows points A through K. What point is a solution to the system of inequalities?
y < −2x + 10
y < 1 over 2x − 2
coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3
I
B
A
F
Question 5(Multiple Choice Worth 1 points)
(05.06 LC)
Choose the graph that represents the following system of inequalities:
y ≥ −3x + 1
y ≥ 1 over 2x + 3
In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB.
Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Question 6(Multiple Choice Worth 1 points)
(05.06 MC)
A company dyes two sizes of rugs. A small rug requires 4 hours for dyeing, and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 20 to create a system that represents this situation?
6x + 4y < 120
4x + 6y < 120
6x + 4y > 120
4x + 6y > 120
Question 7(Multiple Choice Worth 1 points)
(05.06 MC)
A class trip to a beach has been planned for your senior trip. The lifeguard is only on duty when the temperature is between 70 degrees and 105 degrees. There is room for 60 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip.
x > 70 and y < 105
0 < x ≤ 60 and 70 < y < 105
x < 105 and y > 70
70 < x < 105 and 0 < y ≤ 60
Question 8(Multiple Choice Worth 1 points)
(05.06 LC)
Which of the following points lie in the solution set to the following system of inequalities?
y ≤ x − 5
y ≤ −x − 4
(1, 10)
(−1, 10)
(10, 1)
(1, −10)
Question 9(Multiple Choice Worth 1 points)
(05.06 MC)
A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each camper costs $3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.
x + y ≤ 200
4x + 3y ≤ 750
x + y ≤ 750
4x + 3y ≤ 200
x + y ≤ 200
3x + 4y ≤ 750
x + y ≤ 750
3x + 4y ≤ 200
Question 10(Multiple Choice Worth 1 points)
(05.06 MC)
In the graph, the area above f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line g of x is solid, and goes through the points 0, negative 2 and 1, 0 and is shaded in below the line. The other line f of x is dashed, and goes through the points 0, 3, 3, 0 and is shaded in above the line.
The graph represents which system of inequalities?
y > 2x − 3
y > −x − 3
y < 2x − 2
y < −x + 3
y ≤ 2x − 2
y > −x + 3
None of the above
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FDK241.12