Answer:
Step-by-step explanation:
Let [tex]M(x)[/tex] be the cost of renting from Mozart's Music Store for [tex]x[/tex] years, and [tex]B(x)[/tex] be the cost of renting from Bach's Music Store for [tex]x[/tex] years.
From the problem statement, we can come up with the following equations:
[tex]M(x) = 34(12x)[/tex]
[tex]B(x) = 30(12x) + 48x [/tex]
Plugging in [tex]x = 9[/tex] for each equation, we can get the answer:
[tex]M(9) = 34(12 * 9)[/tex]
[tex]M(9) = 34(108)[/tex]
[tex]M(9) = 3672[/tex]
[tex]B(9) = 30(12 * 9) + 48(9)[/tex]
[tex]B(9) = 30(108) + 432[/tex]
[tex]B(9) = 3240 + 432[/tex]
[tex]B(9) = 3672[/tex]
From this, we can see that the value is equal for both stores.
