Question

In 2001, Jacob knew 15 songs on his guitar. By 2003, he had learned 35 songs. 1. Use this information to write a linear model for the number of songs Jacob learns t years since 2000. Show work. 2. According to your model, what is the number of songs that Jacob will Know in 2006. Show work.

Answer 1

$\begin{gathered} In\text{ 2001}\Rightarrow15\text{ songs} \\ In\text{ 2003}\Rightarrow35\text{ songs } \\ \text{that means,} \\ 35-15=20\text{ songs in 2 year} \\ so\text{ in 1 year }\Rightarrow\frac{20}{2}=10\text{ songs} \\ \text{The equation is,} \\ \text{Songs}=15+10t \\ \text{here, t is number of year} \\ \text{Now, in 2006 (5 years from 2001)} \\ Songs=15+10\times5 \\ \text{Songs}=65\text{ songs} \end{gathered}$