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QuizMultiple Choice

Combining Functions

Question 1 • 26MATH_Recovery_Alg1B22

An engineer is designing a building and wants rectangular spaces to maintain a ratio of 2 to 3. For any measurement value x, the length and width of the rectangular spaces can be represented by the functions:Length: f(x) = 3xWidth: g(x) = 2xWhich function represents the area for any rectangular space in the building?

Answer
A
6x2
B
6x
C
3x2
D
10x

Explanation

The area of a rectangle is length multiplied by width. Using the given functions, the area is (3x)(2x) = 6x². Therefore, choice A, 6x², represents the area.

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