Cheddar cheese costs $4.25 per pound. Which equation best represents, y, the total cost of x pounds of cheddar cheese?
Understand the Problem
The question is asking for an equation that represents the total cost, y, of buying x pounds of cheddar cheese, given that the price is $4.25 per pound.
Answer
The equation representing the total cost is \( y = 4.25x \).
Answer for screen readers
The equation that best represents the total cost of ( x ) pounds of cheddar cheese is:
$$ y = 4.25x $$
Steps to Solve
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Identify the variables Let ( y ) represent the total cost of the cheese and ( x ) represent the number of pounds of cheddar cheese purchased.
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Set up the cost equation The cost of cheddar cheese is given as $4.25 per pound. Therefore, the total cost can be expressed as:
$$ y = 4.25x $$
- Choose the correct equation Now, compare the derived equation ( y = 4.25x ) with the answer choices given:
- a.) ( x = 4.25 + y )
- b.) ( x = 4.25y )
- c.) ( y = 4.25 + x )
- d.) ( y = 4.25x )
The equation that matches is choice d.
The equation that best represents the total cost of ( x ) pounds of cheddar cheese is:
$$ y = 4.25x $$
More Information
This equation shows that the total cost ( y ) depends on the weight ( x ) of the cheese purchased, multiplied by the price per pound.
Tips
- Confusing the relationship: It’s important to remember that the total cost is a function of the price per pound multiplied by the weight, not the other way around.
- Misplacing the variables in the equation.
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