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Test
Math
Domain
Advanced Math
Skill
Nonlinear functions
Difficulty
Medium
ID: beca03de
Modded SAT Question Bank by Abdullah Mallik

A rectangle has a length that is 15 times its width. The function y=15ww represents this situation, where y is the area, in square feet, of the rectangle and y>0. Which of the following is the best interpretation of 15w in this context?

  1. The length of the rectangle, in feet

  2. The area of the rectangle, in square feet

  3. The difference between the length and the width of the rectangle, in feet

  4.  The width of the rectangle, in feet

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Correct Answer: A
Rationale

Choice A is correct. It's given that a rectangle has a length that is 15 times its width. It's also given that the function y=15ww represents this situation, where y is the area, in square feet, of the rectangle and y>0. The area of a rectangle can be calculated by multiplying the rectangle's length by its width. Since the rectangle has a length that is 15 times its width, it follows that w represents the width of the rectangle, in feet, and 15w represents the length of the rectangle, in feet. Therefore, the best interpretation of 15w in this context is that it's the length of the rectangle, in feet.

Choice B is incorrect. This is the best interpretation of y, not 15w, in the given function.

Choice C is incorrect and may result from conceptual errors.

Choice D is incorrect. This is the best interpretation of w, not 15w, in the given function.

Question Difficulty: Medium
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