1. **State the problem:** We need to write an equation for the total cost $C$ of using a computer for $t$ minutes at an internet cafe. 2. **Given information:** - Initial fee (fixed cost) = unknown, call it $f$ - Additional price per minute = $0.50$ - Total cost for 2 minutes = $6$ 3. **Write the general formula:** $$C = f + 0.50t$$ where $f$ is the initial fee and $t$ is the time in minutes. 4. **Use the given data to find $f$:** Substitute $t=2$ and $C=6$: $$6 = f + 0.50 \times 2$$ $$6 = f + 1$$ 5. **Solve for $f$:** $$f = 6 - 1 = 5$$ 6. **Write the final equation:** $$C = 5 + 0.50t$$ This equation represents the total cost $C$ in terms of the time $t$ in minutes. **Answer:** $$\boxed{C = 5 + 0.50t}$$