Question

Mozart's Music Store rents trombones for $34 a month. Bach's Music Store rents trombones for $30 per month plus a yearly fee of $48. Which deal is better if you plan to rent a trombone for 9 years (108 months)?

Answer 1

Answer:

Step-by-step explanation:

Let $M(x)$ be the cost of renting from Mozart's Music Store for $x$ years, and $B(x)$ be the cost of renting from Bach's Music Store for $x$ years.

From the problem statement, we can come up with the following equations:

$M(x) = 34(12x)$

$B(x) = 30(12x) + 48x$

Plugging in $x = 9$ for each equation, we can get the answer:

$M(9) = 34(12 * 9)$

$M(9) = 34(108)$

$M(9) = 3672$

$B(9) = 30(12 * 9) + 48(9)$

$B(9) = 30(108) + 432$

$B(9) = 3240 + 432$

$B(9) = 3672$

From this, we can see that the value is equal for both stores.