1. **State the problem:** We are given the equation $c = 3 + n$, which represents the number of coins $c$ a player has after winning $n$ levels in a video game. 2. **Understand the equation:** The equation is a linear function where $c$ depends on $n$. The player starts with 3 coins (when $n=0$), and for each level won, the player gains 1 additional coin. 3. **Identify key features:** - The y-intercept is 3, meaning when $n=0$, $c=3$. - The slope is 1, meaning for every increase of 1 in $n$, $c$ increases by 1. 4. **Plot points:** Using the equation, calculate some points: - When $n=0$, $c=3+0=3$ giving point $(0,3)$. - When $n=1$, $c=3+1=4$ giving point $(1,4)$. - When $n=2$, $c=3+2=5$ giving point $(2,5)$. - When $n=3$, $c=3+3=6$ giving point $(3,6)$. - When $n=4$, $c=3+4=7$ giving point $(4,7)$. 5. **Interpretation:** The graph is a straight line starting at 3 on the y-axis and increasing by 1 coin for each level won, perfectly illustrating the equation $c=3+n$. **Final answer:** The equation $c=3+n$ correctly models the number of coins after winning $n$ levels, starting with 3 coins and increasing by 1 coin per level won.