4
QuizMultiple Choice

Combining Functions — Quiz

Question 4 • Algebra I

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 of x is equal to 3 x Width: g of x is equal to 2 x Which function represents the area for any rectangular space in the building?

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

Explanation

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

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