sat suite question viewer
Algebra
/ Linear functions
Difficulty: Medium
The function is defined by , and , where is a constant. What is the value of ?
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Explanation
Choice C is correct. It's given that and , where is a constant. Therefore, for the given function , when , . Substituting for and for in the given function yields . Multiplying both sides of this equation by yields . Subtracting from both sides of this equation yields . Therefore, the value of is .
Choice A is incorrect. This is the value of if .
Choice B is incorrect. This is the value of if .
Choice D is incorrect. This is the value of if .