The width of a rectangle is modeled by the function w(x) = 3x – 6, and the length of the rectangle is modeled by the function l(x) = 5x + 7.How can the functions be combined to find a function, a(x), that models the area of the rectangle?

The area of a rectangle is width times length, so combine the functions by multiplying: a(x) = (3x − 6)(5x + 7). Expanding gives 15x² + 21x − 30x − 42 = 15x² − 9x − 42. Therefore, choice C, a(x) = 15x² − 9x − 42, models the area.

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