Question 9 Answer & Explanation - SAT Advanced Math

Area Function: A ( x ) = x ( 10 − x ) = − x 2 + 10 x A(x) = x(10-x) = -x^2 + 10x A ( x ) = x ( 10 − x ) = − x 2 + 10 x .
Maximize: Vertex x = − 10 / − 2 = 5 x = -10 / -2 = 5 x = − 10/ − 2 = 5 .
Calculate Area: A ( 5 ) = 5 ( 5 ) = 25 A(5) = 5(5) = 25 A ( 5 ) = 5 ( 5 ) = 25 .

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advanced-math

A rectangle has length $x$ and width $10-x$ . What is the maximum possible area?

100

Choice A is the correct answer.

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

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