The linear model that represents the total cost of recording is f(x) = 75x + 50.
The initial fee is $50 for recording an album.
There is an additional cost per hour i.e. $75.
number of hours = x
Now based on the above information, the linear model should be f(x)=75x+50
Here 50 represent the initial fee i.e. equivalent to y-intercept
And, 75 represent the slope
Therefore we can conclude that the linear model that represents the total cost of recording is f(x) = 75x + 50.