Question

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

Answer 1

Let, after t hours costs are the same.

Mathematical equation of charges taken by first studio :

$y=45+8.5t$

Mathematical equation of charges taken by second studio :

$y=27.59+11t$

So,

$45+8.5t=27.59+11t\\\\2.5t=17.41\\\\t=6.964\ hours$

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

Hence, this is the required solution.