Problem-Based Task: Cupcakes The class president has asked you to make your delicious cupcakes for the next student council fundraiser. With the fundraiser fast approaching, you have asked your friend to help you out. Some friends will frost the cupcakes and others will decorate the cupcakes. At most, 5 friends have agreed to help. Write and graph an inequality that describes the number of friends who can be assigned to each task if there are at most 5 friends available.
What tasks are available for the friends to do as explained in the problem? *
15 points
Frosting
Baking
Delivering
Decorating
Selling
How many friends at most can help? *
15 points
All of the student council.
President, Vice President, Secretary, Treasure
Only help she could find was her own family.
5 friends have agreed to help.
If x = frosting the cupcakes and y = decorating the cupcakes, what is the inequality that represents the number of friends performing each task with the number of friends available? *
15 points
x + y < 5
x + y > 5
x + y ≤ 5
x + y ≥ 5
What is the inequality represented in slope-intercept form. *
15 points
y ≤ - x +5
y ≥ -x + 5
y > - x +5
y < - x +5
This is the graphed line for the inequality. Not all of the graphed points work for the contexts of the problem. x = frosting the cupcakes and y = decorating the cupcakes. What are the two coordinate pairs that would represent the outer boundaries of this graph considering the context of the problem. *
10 points
Captionless Image
( 0, 5)
( 1, 4)
( 5, 0 )
( 6, -1)
Now that we have the boundaries identified for the inequality. Should the line be dashed or solid? Should the end points be closed or open? Make two selections. *
10 points
Captionless Image
Solid
Dashed
Open
Closed
Select all the correct solutions for the problem. Test each of these points using the equation. *
10 points
(0, 0)
(1, 1)
(0, 7)
(3, 3)
(2, 3)
Is this graphed inequality correct? *
10 points
Captionless Image
True
False