Answer:
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