25. An advertisement poster in the window of a shoe store is in the shape of a rectangle. The length of the poster is 9 less than 4 × the width. Which expression represents the length of the poster when w is the width
Answer: A
The expression that represents the length of the poster is 4w - 9.
The length of the poster can be expressed mathematically as 4 times the width minus 9, which is represented by the expression 4w - 9.
A) 4w - 9
This option is correct because it accurately reflects the relationship given in the question. The length is described as "9 less than 4 times the width," which translates directly to the expression 4w - 9.
B) 9 - 4w
This option is incorrect. It suggests that the length is 9 minus 4 times the width, which does not match the provided relationship. The phrasing in the question indicates that the length is derived from multiplying the width by 4 and then subtracting 9, not the other way around.
C) 4w + 9
This option is also incorrect. It suggests that the length is 4 times the width plus 9, which contradicts the condition that the length is actually less than 4 times the width by 9 units.
D) 9w - 4
This option is incorrect as well. It implies that the length is derived from a multiplication of the width by 9 and then subtracting 4, which does not align with the description provided in the question. The relationship defined does not support this formulation.
Conclusion
In conclusion, the correct expression representing the length of the poster is 4w - 9, as it correctly captures the relationship described in the question. All other options fail to accurately represent the given condition of the length being less than 4 times the width by 9 units.