Two Below store sells every item for $2 less than the suggested retail price. If $y$ is Two Below's price and $x$ is the retail price, which equation fits?
$y=x+2$
$y=x-2$
$y=x+2$
Answer (2)
The problem states that Two Below's price ( y ) is $2 less than the retail price ( x ).
Express the relationship as an equation: y = x − 2 .
Verify that this equation means that the price at Two Below is $2 less than the retail price.
The correct equation is y = x − 2 .
Explanation
Problem Analysis Let's analyze the problem. We are given that the price at Two Below store ( y ) is $2 less than the suggested retail price ( x ). We need to find the equation that represents this relationship.
Formulating the Equation Since the price at Two Below is $2 less than the retail price, we can express this as:
y = x − 2
This means that if an item has a retail price of $ x , it will be sold for $2 less at Two Below.
Evaluating the Options Now, let's consider the given options:
y = x + 2 : This would mean the price at Two Below is $2 more than the retail price, which is incorrect.
y = x − 2 : This matches our derived equation, indicating the price at Two Below is $2 less than the retail price.
= x + 2 : This is not a valid equation format.
Final Answer Therefore, the correct equation is y = x − 2 . This represents a linear relationship where the y-intercept is -2 and the slope is 1.
Examples
Imagine you are shopping for a toy whose retail price is $20 . At Two Below, this toy would cost $2 less. Using the equation y = x − 2 , where x = 20 , we find that y = 20 − 2 = 18 . So, the toy costs $18 at Two Below. This equation helps you quickly calculate the discounted price of any item at Two Below, making it easier to budget and compare prices.
The correct equation showing that Two Below's price is 2 l ess t han t h ere t ai lp r i ce i s y = x − 2 . T hi s m e an s t ha t i f t h ere t ai lp r i ce i s x , Tw o B e l o w ′ s p r i ce y$ will be 2 l ess t han x. Therefore, the answer is y = x − 2 .
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