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Algebra / Linear functions Difficulty: Easy

f(x)=4x+b

For the linear function f , b is a constant and f(7)=28. What is the value of b ?

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Explanation

Choice A is correct. For the linear function f , it’s given that f7=28. Substituting 7 for x and 28 for fx in the given function yields 28=47+b, or 28=28+b. Subtracting 28 from each side of this equation yields 0=b. Therefore, the value of b is 0 .

Choice B is incorrect. Substituting 1 for b in the given function yields fx=4x+1. For this function, when the value of x is 7 , the value of fx is 29 , not 28 .

Choice C is incorrect. Substituting 4 for b in the given function yields fx=4x+4. For this function, when the value of x is 7 , the value of fx is 32 , not 28 .

Choice D is incorrect. Substituting 7 for b in the given function yields fx=4x+7. For this function, when the value of x is 7 , the value of fx is 35 , not 28 .