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)?

h(x) = 136x
h(x) = 80x2 + 560x
h(x) = 80x + 560
h(x) = 80x2 + 560

Answer 1

Step-by-step explanation:

answer Wii be hx= fx)g(x)

h(x)=80x2+560x

Answer 2

Answer:

B. h(x) =  $80x^{2} + 560x$ is the correct answer.

Step-by-step explanation:

Given: The function f(x) = 80x.The function g(x) = x+7

To find: The function  h(x) = f(x)g(x)

Solution:

Function:

A function is an equation that, given any possible value for x, will always result in exactly one output, such as the value y.

f is typically used to represent a function (x)

where x is a independent variable

y is a dependent variable.

f(x) represents the number of rows in an auditorium.

g(x) represents the number of seats in each row.

h(x) represent the total number of seats.

h(x) = f(x)g(x)

f(x) = 80x

g(x) = (x+7)

Multiply the function f(x) and g(x)

h(x) = f(x) × g(x)

h(x) = (80x) × (x+7)

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

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

The product value of f(x) and g(x) is $80x^{2} + 560x$

Final answer:

The function h(x) =$80x^{2} + 560x$  represents the total number of seats.

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