sat suite question viewer
Algebra
/ Linear functions
Difficulty: Medium
In the linear function , and . Which equation defines ?
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Explanation
Choice D is correct. Since is a linear function, it can be defined by an equation of the form , where and are constants. It's given that . Substituting for and for in the equation yields , or . Substituting for in the equation yields . It's given that . Substituting for and for in the equation yields , or . Subtracting from both sides of this equation yields . Substituting for in the equation yields . Therefore, an equation that defines 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 C is incorrect and may result from conceptual or calculation errors.