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Maximizing Enclosed Area with Fencing

Maximizing Enclosed Area with Fencing

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Jennifer Brown

FREE Resource

5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the perimeter equation used to represent the total length of fencing?

2x + y = 100

4x + 3y = 100

x + 2y = 100

3x + 4y = 100

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the variable y expressed in terms of x?

y = (4/3)x + 100/3

y = (-3/4)x + 100/3

y = (-4/3)x + 100/3

y = (3/4)x + 100/3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of graph does the quadratic equation for area represent?

A linear graph

A parabola opening downwards

A parabola opening upwards

A circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x-value that maximizes the area?

100

12.5

25

50

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the dimensions that maximize the enclosed area?

x = 25, y = 50

x = 12.5, y = 50/3

x = 50/3, y = 25/2

x = 100, y = 0

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