5
AssignmentMultiple Choice

Combining Functions

Question 5 • FL-1200330-Algebra 2 Sem 1 - Flex

The number of rows in a movie theater can be represented by the function f(x) = 12x.The number of seats in each row in the theater can be represented by the function g(x) = x + 9.Which function represents the total number of seats, h(x) = f(x)g(x)?

Answer
A
h(x) = 12x + 108
B
h(x) = 12x2 + 108x
C
h(x) = 12x – 108
D
h(x) = 12x2 + 108

Explanation

The total number of seats is the number of rows multiplied by the number of seats in each row: h(x) = f(x)g(x) = 12x(x + 9). Distributing 12x gives h(x) = 12x² + 108x, which matches the choice “h(x) = 12x² + 108x.”

AI-written and checked against the verified answer.