Answer: The correct option is (D) 960.
Step-by-step explanation: We are given that the following equation for x to find the total number of people who downloaded songs from a music site for a certain month:
![x=0.6x+384~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1to6x5nog0z0209ksli6q23jt83hng1v1l.png)
We are to find the number of people that downloaded songs from the side that month.
From equation (i), we get
![x=0.6x+384\\\\\Rightarrow x-0.6x=384\\\\\Rightarrow 0.4x=384\\\\\Rightarrow x=(384)/(0.4)\\\\\Rightarrow x=960.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8gp5e7uhc8dgkccdq1vysjnczjnxswm6bg.png)
Thus, 960 people downloaded songs from the side that month.
Option (D) is CORRECT.