sat suite question viewer
Algebra
/ Linear functions
Difficulty: Hard
For the function , for all values of , where is a positive constant. If , what is the value of ?
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Explanation
The correct answer is . It's given that for all values of , where is a positive constant, and . Therefore, for the given function , . Dividing both sides of this equation by yields . Substituting for in the equation yields , or . Since it’s given that , substituting for yields . Adding to both sides of this equation yields . Multiplying both sides of this equation by yields . Dividing both sides of this equation by yields . Note that 2/43, .0465, 0.046, and 0.047 are examples of ways to enter a correct answer.