Gather information from a provided problem to create an equation about it.
Let's break down this problem. We are told to build an equation solely based on what they have given us. They want a problem which can represent how many seconds music is being played, in terms of hours.
Well, we know a few things:
- An hour has 60 minutes
- A minute has 60 seconds
Let's utilize this to build an equation:
[tex]f(x) = 60(60x)[/tex]
Where x is the number of hours, and we multiply by sixty twice to reach the numbers of seconds.
We are then asked to solve the equation in terms of 9 hours:
[tex]f(9) = 60(60*9)\\f(9) = 60(540)\\f(9) = 32,400[/tex]
The answer is 32,400 seconds, because 9 * 60 * 60 = 32,400.
f(x) = 60(60x)
f(9) = 32,400 seconds
