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Question 1170192: Bernite is selling candy bars for a school fundraiser. The school paid $20.00 for a box of 15 king-size candy bars and Bernite sells them for $2.00 each. What is the relationship between the amount of candy sold and the amount of money earned?
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! Let's break down this problem to understand the relationship between candy bars sold and money earned.
**1. Calculate the Cost Per Candy Bar**
* The school paid $20.00 for 15 candy bars.
* Cost per candy bar = $20.00 / 15 bars = $1.3333... (approximately $1.33)
**2. Calculate the Profit Per Candy Bar**
* Bernite sells each candy bar for $2.00.
* Profit per candy bar = Selling price - Cost price
* Profit per candy bar = $2.00 - $1.3333... = $0.6666... (approximately $0.67)
**3. Define Variables**
* Let 'x' represent the number of candy bars Bernite sells.
* Let 'y' represent the total amount of money Bernite earns (profit).
**4. Write the Equation**
* Since Bernite earns approximately $0.67 profit per candy bar, the total profit (y) is the profit per bar multiplied by the number of bars sold (x).
* y = 0.67x
**5. Consider Total Earnings (Including the Initial Cost)**
If you want to look at the total money that Bernite collects, rather than just profit, you would use this equation.
* Total earnings = (Selling price per bar) * (Number of bars sold)
* Total earnings = 2 * x
**6. Describe the Relationship**
* **Profit:** The amount of money Bernite earns (profit) is directly proportional to the number of candy bars she sells. For each candy bar sold, she earns approximately $0.67 in profit. The equation y = 0.67x represents this linear relationship.
* **Total earnings:** The total amount of money collected is 2 times the number of candy bars sold.
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