The distance of y miles from Stockton to Odessa is 8 miles less than twice the distance of x miles from Stockton to Midland. What is y in terms of x?
y = 2x - 8
The relationship described in the question indicates that the distance from Stockton to Odessa (y miles) is 8 miles less than twice the distance from Stockton to Midland (x miles). This translates mathematically to the equation y = 2x - 8.
This option incorrectly suggests that the distance y is 8 miles more than twice the distance x. The problem states that y is less than twice x by 8 miles, not more. Therefore, this formulation does not accurately reflect the relationship described.
This is the correct formulation, as it states that the distance from Stockton to Odessa (y) is 8 miles less than twice the distance from Stockton to Midland (2x). It captures the relationship correctly by subtracting 8 from 2x.
This choice implies that y equals twice the distance of x reduced by 8, which incorrectly alters the structure of the original statement. It suggests a different relationship, indicating that the distance x itself is diminished by 8 before being doubled, which does not represent the problem's condition.
This option incorrectly states that the distance y is 16 miles more than the distance x. This contradicts the original problem, which specifies that y is less than twice x, not more, and therefore this option does not meet the requirement set in the question.
The correct equation y = 2x - 8 accurately describes the relationship between the distances from Stockton to Odessa and Midland. It reflects the statement that y is 8 miles less than twice the distance of x. The other options present incorrect interpretations of the problem's conditions, highlighting the importance of carefully translating verbal statements into mathematical equations.
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