A store sells two different-sized containers of a certain Greek yogurt. The store’s sales of this Greek yogurt totaled 1,277.94 dollars last month. The equation 5.48x + 7.30y = 1,2... A store sells two different-sized containers of a certain Greek yogurt. The store’s sales of this Greek yogurt totaled 1,277.94 dollars last month. The equation 5.48x + 7.30y = 1,277.94 represents this situation, where x is the number of smaller containers sold and y is the number of larger containers sold. According to the equation, which of the following represents the price, in dollars, of each smaller container?
Understand the Problem
The question is asking which option represents the price of each smaller yogurt container based on the given equation that describes the sales of the yogurt containers. We need to identify the correct interpretation of the variables in the equation.
Answer
The price of each smaller yogurt container is $5.48$.
Answer for screen readers
The price of each smaller yogurt container is $5.48$.
Steps to Solve
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Identify the equation components The given equation is $5.48x + 7.30y = 1,277.94$. Here, $x$ represents the number of smaller yogurt containers sold, and $y$ represents the number of larger yogurt containers sold.
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Understanding the price representation The term $5.48x$ represents the total sales from the smaller containers. The coefficient $5.48$ can be interpreted as the price of each smaller container since $x$ (the number sold) is multiplied by this price.
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Relate the options to the equation Now, let's analyze the answer choices:
- A) $5.48$: This matches the coefficient of $x$ in the equation and is therefore the price for each smaller container.
- B) $7.30y$: This represents the total value of larger containers, not the price per container.
- C) $7.30$: This is just a number, not the price of the smaller container.
- D) $5.48x$: This is the total amount from all smaller containers sold, not the price of one.
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Conclusion The correct interpretation of the price of each smaller yogurt container is precisely the coefficient of $x$, which is $5.48$.
The price of each smaller yogurt container is $5.48$.
More Information
The equation describes a situation where the total revenue from selling two types of yogurt containers is given. The coefficient of $x$ directly translates to the price of the smaller container, while that of $y$ indicates the price of the larger container. This clarity often helps in understanding sales equations.
Tips
- Confusing the total revenue term with the price per item.
- Misinterpreting the coefficient for the variable as a total instead of a unit price.
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