Q:

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!!!Aurora is selling tickets to a carnival. The function f(x) = 0.5x represents the amount of money Aurora earns per ticket, where x is the number of tickets she sells. The function g(x) = 8x represents the number of tickets Aurora sells per hour, where x is the number of hours she works. Find f(g(x)), and explain what it represents. a. f(g(x)) = 4x, which represents the money Aurora made in dollars per hour b. f(g(x)) = 4x, which represents the number of tickets Aurora sold per hour c. f(g(x)) = 16x, which represents the money Aurora made in dollars per hour d. f(g(x)) = 16x, which represents the number of tickets Aurora sold per hour

Accepted Solution

A:
f(x) = 0.5x   -   money per ticketg(x) = 8x   -   tickets per hourWe replace g(x) with its value (8x).f(g(x)) = f(8x)We replace the x in f(x) with 8x.f(8x) = 0,5 × 8xf(8x) = 4x⇒ f(g(x)) = 4xCorrect answer: a. f(g(x)) = 4x, which represents the money Aurora made in dollars per hour