f(x) = 4x+b For the linear function f, b is a constant f(7) = 28 and. What is the value of b?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
7 =28 Choice A is correct. For the linear function f, it’s given that f^ h . Substituting 28 28=4 7 + 28=28+ 7 for x and for f^xh in the given function yields ^ h b, or b. 28 = Subtracting from each side of this equation yields 0 b. Therefore, the value of b is 0. =4 +1 Choice B is incorrect. Substituting 1 for b in the given function yields f^xh x . 29 28 For this function, when the value of x is 7, the value of f^xh is , not . Choice C = + is incorrect. Substituting 4 for b in the given function yields f^xh 4x 4. For this 32 28 function, when the value of x is 7, the value of f^xh is , not . Choice D is =4 +7 incorrect. Substituting 7 for b in the given function yields f^xh x . For this 35 28 function, when the value of x is 7, the value of f^xh is , not . 33 SAT PRACTICE TEST #8 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1
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