The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x) = -2x2+ 36x, where x is the width, in feet, of the storage bin. Part B: The process of completing the square can be used to calculate the width, in feet, of the storage bin that gives a maximum area.

A(x) = -2x2 + 36x

A(x)= -2(x – 9)2 + ___

What is the missing value in the work shown?

A.
162

B.
-81

C.
-162

D.
81

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step-by-step explanation:

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answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.