Question

hassan knows how to sing 6 vocal pieces, thanks to his choir class. now hes about to start private lessons. his teacher says he will learn 2 new pieces each month. write an equation that shows the relationship between the number of months hassan takes voice lessons, x, and the number of pieces he knows y. y =

Explanation:

Step1: Identify initial and rate

Initial pieces \( y_0 = 6 \), rate of learning \( r = 2 \) per month.

Step2: Formulate linear equation

The number of pieces \( y \) is initial pieces plus pieces learned in \( x \) months. So \( y = 6 + 2x \).

Answer:

\( y = 2x + 6 \)