29. 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?
Answer: B
y = 2x - 8
The relationship between the distances y and x is expressed as y being 8 miles less than twice the distance of x. Thus, the equation can be formulated as y = 2x - 8.
A) y = 2x + 8
This option incorrectly states that y is 8 miles more than twice the distance of x. The problem specifically indicates that y is less than twice x, making this option incorrect.
B) y = 2x - 8
This option correctly represents the relationship given in the question. It clearly states that y is equal to twice the distance of x minus 8 miles, which aligns perfectly with the provided information.
C) y = 2(x - 8)
This option implies that y is twice the quantity of (x - 8). While it suggests a relationship involving x, it does not accurately reflect the conditions outlined in the question regarding y being less than twice x.
D) y = x + 16
This option suggests that y is equal to x plus 16 miles. This does not align with the problem's stipulation that y must be less than twice the distance of x, thus making this option incorrect.
Conclusion
The correct answer, y = 2x - 8, accurately captures the relationship described in the problem statement, confirming that y is 8 miles less than twice the distance of x. All other options fail to meet this requirement, either by misrepresenting the relationship or providing incorrect values.