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A music recording studio charges a flat fee of $45.00 plus $8.50 per hour to record your music.Another recording studio charges $27.59 plus $11.00 an hour to record music.Find the number of hours for which costs are the same

A music recording studio charges a flat fee of 4500 plus 850 per hour to record your musicAnother recording studio charges 2759 plus 1100 an hour to record musi class=

Respuesta :

Let, after t hours costs are the same.

Mathematical equation of charges taken by first studio :

[tex]y=45+8.5t[/tex]

Mathematical equation of charges taken by second studio :

[tex]y=27.59+11t[/tex]

So,

[tex]45+8.5t=27.59+11t\\\\2.5t=17.41\\\\t=6.964\ hours[/tex]

Therefore, after 6.964 hours cost of both studio is same.

Hence, this is the required solution.

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