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Example1

Title: Two-Variable Data

Grade Lesson s6-l2

Explanation: The best way to understand SAT-4 is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

You and your friend are at the movie theater. Popcorn costs $x per bag and drinks cost $y each. If you buy 2 bags of popcorn and 1 drink, how much will it cost in total? This can be represented by the equation 2x + 1y = total cost. You can then plug in different prices for x and y to find the total cost for different scenarios.

Step: 1

You and your friend are at the movie theater. Popcorn costs $ x per bag, and drinks cost $ y each. You decide to buy 2 bags of popcorn and 1 drink. The equation can represent the total cost: 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: 2

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: 3

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 us understand how changes in the prices of popcorn and drinks affect the total expenditure.

Explanation:

Here, we write an explanation and analysis.

Step: 4

$1$

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.