2 friends share 3 fruit bars equally. How much does each friend get?

2 answers:

7 0

Each friend would get 1 bar. This would leave an extra bar. Simply divide that third bar in half to give the 2 friends equal amounts. The 2 friends would get 1.5 or 1 1/2 fruit bars each.

gizmo_the_mogwai [7]3 years ago

5 0

1.5 for each friend, plus who eats fruit bars xD

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Rectangle R has varying length l and width w but a constant perimeter of 4 ft. A. Express the area A as a function of l. What do

ivanzaharov [21]

Given:
l = length of the rectangle
w = width of the rectangle
P = 4 ft, constant perimeter

Because the given perimeter is constant,
2(w + l) = 4
w + l = 2
w = 2 - l (1)

Part A.
The area is
A = w*l
= (2 - l)*l
A = 2l - l²
This is a quadratic function or a parabola.

Part B.
Write the parabola in standard form.
A = -[l² - 2l]
= -[ (l -1)² - 1]
= -(l -1)² + 1
This is a parabola with vertex at (1, 1). Because the leading coefficient is negative the curve is downward, as shown below.

The maximum value occurs at the vertex, so the maximum value of A = 1.
From equation (1), obtain
w = 2 - l = 2 - 1 = 1.
The maximum value of the area occurs when w=1 and l=1 (a square).

Answer:
The area is maximum when l=1 and w=1.
The geometric argument is based on the vertex of the parabola denoting maximum area.