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a recording studio charges musicians an initial fee of $50 to record an album. studio time cost an additional $75 per hour. write a linear model that represents the total cost of recording an album as a function of studio time (in hours)

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Answer:

f(x)=75x+50

Step-by-step explanation:

50= initial fee= y-intercept

75= slope

The linear model that represents the total cost of recording is f(x) = 75x + 50.

Given that,

  • The initial fee is $50 for recording an album.
  • There is an additional cost per hour i.e. $75.
  • Let us assume the number of hours be 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.

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