sat suite question viewer
Algebra
/ Linear functions
Difficulty: Hard
The linear function is defined by , where is a constant. If , where is a constant, which of the following expressions represents the value of ?
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Explanation
Choice C is correct. It’s given that . Therefore, for the given linear function , when , . Substituting for and for in yields . Applying the distributive property to the right-hand side of this equation yields . Adding to both sides of this equation yields . Adding to both sides of this equation yields , or . Therefore, the expression that represents the value of is .
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.