Q:

The profit, in thousands of dollars, from the DVD sales of a TV show over x months is given by the function f(x) = 12x.The profit, in thousands of dollars, from online streaming of the same TV show over x months is given by the function g(x) = 10(1.2)x.Which function best describes the total profit from the TV show over x months, and after how many months will the profit be approximately $68,736?A)h(x) = 22x(1.2)xx = 2 monthsB)h(x) = 2(6(1.2)x + 5x)x = 4 monthsC)h(x) = 2(5(1.2)x + 6x)x = 4 monthsD)h(x) = 2(5(1.2)x - 6x)x = 18 months

Accepted Solution

A:
all you need to do is find (f+g)x = (12x) + (10(1.2)X)Β  which = 24x
then in the multiple choice, see which one equals 24x, in this case its C.
5*1.2=6, 6x+6x = 12x*2 = 24xΒ