
Maximizing Corral Area Using Calculus

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned

Amelia Wright
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective of the problem discussed in the video?
To determine the height of the barn
To minimize the cost of fencing
To maximize the area of three identical corrals
To calculate the perimeter of a single corral
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the total length of fencing available for the corrals?
100 feet
120 feet
112 feet
150 feet
Tags
CCSS.6.EE.B.6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What variable is assigned to the horizontal lengths of the corrals?
Y
Z
X
W
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the constraint equation derived from the total fencing available?
Y + 2X = 112
Y + 5X = 112
Y + 4X = 112
Y + 3X = 112
Tags
CCSS.8.EE.C.7B
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary equation for the area of the corrals?
Area = X - Y
Area = X * Y
Area = X / Y
Area = X + Y
Tags
CCSS.6.EE.C.9
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the primary equation expressed in terms of a single variable?
By substituting Y = 112 - 4X
By substituting X = 112 - 4Y
By substituting Y = 112 - 3X
By substituting X = 112 - 3Y
Tags
CCSS.6.EE.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the area equation with respect to X?
112 - 8X
112 + 8X
112 - 4X
112 + 4X
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