MARKNING BRAINLEST ! :) * The table shows a linear function, find the values of A , B , & C. Show your work.X YA 73 85 97 BC 11
Accepted Solution
A:
Answer:A = 11, B = 25/3, C = -1Step-by-step explanation:A linear function has the form:f(x) = ax + b(1)f(3) = 8a + b = 8f(5) = 5a + b = 9Using the last 2 equations we can solve for 'a' and 'b'.8a + b = 8 | 5a + b = 9We multiply the second one by -1:8a + b = 8 | -5a -b = -9And then we add them together:3a = -1a = [tex]\frac{-1}{3}[/tex]We then solve for 'b':5a + b = 95(-1/3) + b = 9b = 9 + 5/3b = 32/3 = [tex]11\frac{1}{3}[/tex].We then use this to find A, B, C.f(x) = (-1/3)x + 32/3(2)f(A) = -A/3 + 32/3 = 7[tex]\frac{-A}{3} + \frac{32}{3} = 7\\A - 32 = -21\\A = 11[/tex](3) f(7) = -7/3 + 32/3 = B25/3 = B(4)f(C) = -C/3 + 32/3 = 11 [tex]\frac{-C}{3} + \frac{32}{3} = 11\\C - 32 = -33\\C = -1[/tex]