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)x x = 2 months b)h(x) = 2(6(1.2)x + 5x) x = 4 months c)h(x) = 2(5(1.2)x + 6x) x = 4 months d)h(x) = 2(5(1.2)x - 6x) x = 18 months

All you need to do is find (f+g)x = (12x) + (10(1.2)X)  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 = 24x 

Option C -  x = 4 months          

Step-by-step explanation:

Given : The profit, in thousands of dollars, from the DVD sales of a TV show over x months is given by the function .

The profit, in thousands of dollars, from online streaming of the same TV show over x months is given by the function .

To find : 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  

Solution : Firstly, Total profit from the TV shows over x months is

To find the value of x put the profit given $68,736

But we have given in thousands dollars,

∴

We solve this equation through graph, (graph attached)

At y=68.736 the value of x=4

∴ x = 4 months

We can also re-write the function in the form:

Therefore, Option C is correct

x = 4 months

Arhombus is a quadrilateral.

Ibelieve it would be letter c (: