1. **State the problem:** The theater department charges $5$ dollars per ticket plus a donation of $x$ dollars per ticket. They sold $80$ tickets. We want to find expressions that represent the total amount of money made. 2. **Write the total amount expression:** Each ticket brings in $5 + x$ dollars. 3. **Multiply by the number of tickets:** Total money made = number of tickets $\times$ amount per ticket = $80(5 + x)$. 4. **Simplify the expression:** $$80(5 + x) = 80 \times 5 + 80 \times x = 400 + 80x$$ 5. **Check each given expression:** - $5(80 + x)$ expands to $5 \times 80 + 5 \times x = 400 + 5x$, which is not equivalent to $400 + 80x$. - $85x$ is just $85x$, which is not equivalent. - $400 + 80x$ matches our simplified expression. - $80(5 + x)$ is the original correct expression. **Final answer:** The expressions that represent the total money made are $400 + 80x$ and $80(5 + x)$.