Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wants to earn at least $50. He needs to sell at least 5 wristbands. Which system of inequalities is shown in the graph of the solution below?
• 2x + 3y ≥ 50
x ≥ 5
x ≥ 0
y ≥ 0
•3x + 2y ≥ 50
x ≥ 5
x ≥ 0
y ≥ 0
•2x + 3y ≤ 50
x ≥ 5
x ≥ 0
y ≥ 0
•2x + 3y ≤ 50
x ≤ 5
x ≥ 0
y ≥ 0
1.
Solve the system by graphing.
–x + 4y = –2
–2x + 5y = –4
(1 point)
(0 pts)
(0 pts)
(0 pts)
(1 pt)
1 /1 point
2.
Mackenzie is responsible for buying a week's supply of food and medication for the puppies and kittens at a local shelter. The food and medication for each puppy costs twice as much as those supplies for a kitten. She needs to feed 164 kittens and 24 puppies. Her budget is $4,240. How much can Mackenzie spend on each puppy for food and medication?
(1 point)
(0 pts) $20
(1 pt) $40
(0 pts) $60
(0 pts) $80
1 /1 point
3.
Which system of inequalities is represented by the solution shown in the graph below?
(1 point)
(0 pts) y ≤ 2x + 4
y ≥ 2x + 1
(0 pts) y ≤ –2x + 1
y ≥ 2x + 4
(1 pt) y ≤ 2x + 4
y ≥ –2x + 1
(0 pts) y ≤ –2x
y ≥ 2x
1 /1 point
4.
Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wants to earn at least $50. He needs to sell at least 5 wristbands.
Which system of inequalities is shown in the graph of the solution below?
(1 point)
(1 pt) 2x + 3y ≥ 50
x ≥ 5
x ≥ 0
y ≥ 0
(0 pts) 3x + 2y ≥ 50
x ≥ 5
x ≥ 0
y ≥ 0
(0 pts) 2x + 3y ≤ 50
x ≥ 5
x ≥ 0
y ≥ 0
(0 pts) 2x + 3y ≤ 50
x ≤ 5
x ≥ 0
y ≥ 0
1 /1 point
5.
You are making your weekly meal plans and are working with the following constraints: It costs $8 to go to out to dinner. It costs $5 to go out to lunch. You want to go out to dinner at least as many times as you go out to lunch. You can spend at most $42.
What is the greatest number of meals you can eat out?
(1 point)
(0 pts) 3
(0 pts) 4
(0 pts) 5
(1 pt) 6
1 /1 point
6.
You are an athletic director and have a budget of $7,000 for uniforms. You can buy Top Flight uniforms for $125 each, and Bargain uniforms for $75 each. If you want to have 3 times as many Bargain uniforms as Top Flight uniforms, how many of each type should you buy?
(1 point)
(0 pts) 16 Top Flight; 48 Bargain
(1 pt) 20 Top Flight; 60 Bargain
(0 pts) 48 Top Flight; 16 Bargain
(0 pts) 60 Top Flight; 20 Bargain
1 /1 point
7.
What is the m12 in matrix M?
(1 point)
(0 pts) 2
(1 pt) 7
(0 pts) 5
(0 pts) 4
1 /1 point
8.
Which linear system of equations does the matrix represent?
(1 point)
(0 pts) 8x + 7y + 4z = 0
2x + 0y + 5z = 0
(1 pt) 8x + 7y = 4
2x + 0y = 5
(0 pts) 8x – 7y – 4z = 0
2x + 0y + 5z = 0
(0 pts) 8x + 7y = –4
2x + 0y = –5
1 /1 point
9.
Solve the following system using a matrix.
7a – b = –1
−4a – 2b = –2
(1 point)
(1 pt) (0, 1)
(0 pts) (1, 0)
(0 pts) (2, 1)
(0 pts) (1, 2)
1 /1 point
10.
Find the values of x and y that maximize the objective function P = 3x + y for the graph. What is the maximum value?
(1 point)
(0 pts) (0, 6)
(0 pts) (1, 4)
(1 pt) (3, 0)
(0 pts) (0, 0)
1 /1 point