A group of friends is ordering guayaberas and will split the cost equally. Guayaberas are lightweight shirts with pockets and vertical rows of pleats running down the front and bac... A group of friends is ordering guayaberas and will split the cost equally. Guayaberas are lightweight shirts with pockets and vertical rows of pleats running down the front and back. Each shirt can be purchased for $24.99, and there is a flat-rate shipping cost of $20. Which equation shows the average cost per shirt, y, including shipping, if the group orders x shirts?
Understand the Problem
The question describes a scenario where a group of friends orders shirts called "guayaberas". Each shirt costs $24.99, and there's a flat shipping fee of $20 for the entire order. The question asks us to select the equation that represents the average cost per shirt (y) when the group orders x shirts, including the shipping cost.
Answer
$y = \frac{24.99x + 20}{x}$
Answer for screen readers
$y = \frac{24.99x + 20}{x}$
Steps to Solve
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Calculate the total cost of the shirts The cost of each shirt is $24.99, and the group orders $x$ shirts. So the total cost of the shirts is $24.99x$.
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Calculate the total cost of the order The total cost of the order includes the cost of the shirts ($24.99x$) and the flat-rate shipping cost ($20). Therefore, the total cost is $24.99x + 20$.
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Calculate the average cost per shirt To find the average cost per shirt ($y$), we divide the total cost of the order ($24.99x + 20$) by the number of shirts ($x$). This gives us the equation $y = \frac{24.99x + 20}{x}$.
$y = \frac{24.99x + 20}{x}$
More Information
The answer is the equation that correctly represents how to calculate the average cost per shirt when buying $x$ shirts, considering both the individual shirt price and a flat shipping fee.
Tips
A common mistake is to forget to multiply the price of the shirt by the number of shirts before adding the shipping cost. Another common mistake is to divide the shipping cost by the number of shirts and then add that to the price, which is an incorrect way to calculate the average price per shirt.
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