Step 1: Identify the Variables

• Let $y$ be the total cost.
• Let $x$ be the number of tickets purchased.

Step 2: Determine the Relationship

• The total cost is $10 \times the number of tickets: $y = 10x$.

Step 3: Write the Equation

The linear equation based on the scenario is:

Key Questions

• What do the variables represent in the word problem?
• How do specific words in the scenario help you determine the operations?
• Can you identify the slope and intercept from the linear equation?

Practice Problems

1. A taxi charges a base fare of $3 plus $2 per mile. Write the equation for the total fare $y$ based on the miles $x$ traveled.
2. You have $50 to spend on notebooks that cost $5 each. Write an equation for the number of notebooks $y$ you can buy if you spend all your money.

Summary

Understanding how to write linear equations from word scenarios is essential for solving real-world problems. Practice identifying variables and forming equations based on different contexts.