1. **Stating the problem:** We need to find the equation that represents the relationship between Roxanne's account total $A$ and the number of weeks $W$ she has been adding money to her account. 2. **Analyzing the tables:** - The first table shows $A=300$ for all weeks $W=0$ to $4$, meaning the account total is constant and does not change with $W$. - The second table shows $A$ starting at $20$ when $W=0$, then increasing by $300$ each week: $320$ at $W=1$, $620$ at $W=2$, $920$ at $W=3$, and $1220$ at $W=4$. 3. **Understanding the pattern in the second table:** - The increase each week is $300$. - The initial amount at $W=0$ is $20$. 4. **Formulating the equation:** - The general form for a linear relationship is $A = mW + b$, where $m$ is the weekly increase and $b$ is the initial amount. - Here, $m=300$ and $b=20$. 5. **Checking the options:** - $A = 300W + 20$ matches the pattern. - $A = 20W$ does not match because the increase per week is not $20$. - $A = 300 + 20W$ does not match because the initial amount is $300$ and the weekly increase is $20$, which contradicts the data. - $A = 300$ is constant and matches the first table, not the second. **Final answer:** $$A = 300W + 20$$