Step 1a

You and your friend are at the movie theater. Popcorn costs x dollars per bag and drinks cost y dollars each. You decide to buy 2 bags of popcorn and 1 drink. The total cost can be represented by the equation: 2x + y = total cost
Variables:
→ 𝑥: Cost of one bag of popcorn
→ 𝑦: Cost of one drink

Explanation: Here, we write the formula and variables.

Step 1b

Data:
Let’s consider different scenarios with varying costs for popcorn and drinks.

Scenario 1:
Cost of popcorn (𝑥): $5 per bag
Cost of drink (𝑦): $3 each
Total cost: 2(5) + 3 = 10 + 3 = 13 dollars

Scenario 2:
Cost of popcorn (𝑥): $4 per bag
Cost of drink (𝑦): $2 each
Total cost: 2(4) + 2 = 8 + 3 = 11 dollars

Scenario 3:
Cost of popcorn (𝑥): $6 per bag
Cost of drink (𝑦): $4 each
Total cost: 2(6) + 4 = 12 + 4 = 16 dollars

Scenario 4:
Cost of popcorn (𝑥): $3 per bag
Cost of drink (𝑦): $5 each
Total cost: 2(3) + 5 = 6 + 5 = 11 dollars

Explanation: Here, we write different scenarios.

Step 1c

Explanation:
→ Variables: The two variables in this problem are the cost of a bag of popcorn (x) and the cost of a drink (y).

→ Equation: The equation 2x + y = total cost represents the total cost for 2 bags of popcorn and 1 drink.

Analysis:
By plugging different values for x and y into the equation, you can calculate the total cost for various pricing scenarios. This helps in understanding how changes in the prices of popcorn and drinks affect the total expenditure.

Explanation: Here, we write an explanation and analysis.

Step 1d

Explanation: Here, we can represent the data in a table format. Therefore, the total cost will depend on the specific prices of popcorn (𝑥) and drinks (𝑦) that you use in the equation.