Question

The number of rows in an auditorium can be represented by the function f(x) = 80x. The number of seats in each row can be represented by the function g(x) = x + 7. Which function represents the total number of seats, h(x) = f(x)g(x)?

Answer 1

Answer:

$h(x) = 80x^2 + 560x$

Step-by-step explanation:

To find the function h(x), that represents the total number of seats, we just need to multiply the functions f(x) (number of rows) and g(x) (number of seats per row):

$h(x) = f(x) * g(x)$

$h(x) = 80x * (x+7)$

$h(x) = 80x*x + 80x*7$

$h(x) = 80x^2 + 560x$

So the function that represents the total number of seats is:

$h(x) = 80x^2 + 560x$