MATH 1080 Final: MATH1 summary problem notes 4
9 Sep 2018
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Equation of a line (representative of the dataset) A(x) is system 1: (x consumed) = 50 x(percentage associated) = 0. 5. B(x) is system 2: (x consumed) = 70 x(percentage associated) = 0. 7. Create expressions of both models with accompanying scenarios. Substitute value of x and solve for variable. Find any random variables and convert to logarithmic equivalents with the identical base to others in the equation. Collect like terms across equal to make like expressions. 50 + 0. 5x = 70 + 0. 7(x 300) 50 + 0. 5x = 70 + 0. 7x 210. 50 + a(100) = 70 a(100) = 20 a = 0. 2. 50 + 0. 5x = 70 + b(x 300) 50 + 0. 5(11,000) = 70 + b(11,000 1000) Convert the - 2 to log5(25) as the base. 5 to the exponent 2 is equal to 25 log5(4 [exp 2]) + log5(x + 3) = log5(x + 1) - log5(25) log5(16) (x + 3) = log5(25)(x + 1)
