Braden knows how to sing 6 vocal pieces, thanks to his choir class. Now he's about to start private lessons. His teacher says he will learn 1 new piece each week.

Question

Write an equation that shows the relationship between the number of weeks Braden takes voice lessons, x, and the number of pieces he knows, y.

Answer 1

To represent the relationship between the number of weeks Braden takes voice lessons (x) and the total number of vocal pieces he knows (y), we can create the following equation:

\[ y = 6 + x \]

In this equation:

• \(y\) is the total number of vocal pieces Braden knows.
• \(6\) represents the pieces he already knows.
• \(x\) is the number of weeks he takes voice lessons, with each week adding 1 new piece.

So for every week \(x\), he will add 1 piece to his initial count of 6.