The variables x and y have an exponential relationship, one of the form y = Suppose that we also have the following table of values for x and y: We'll use these two data points to solve for C and a. Step 1: Solving for a. Point X y Point 1 2.7 27 Point 2 4.7 53 2 If we divide the equation y2 = Use the values from the table to make an equation involving only a: a = (Round these and all answers to 2 significant digits.) Solve this equation for a: Ca2 by the equation y₁ = Ca¹, we get the equation = a to the power Step 2: Solving for C. Substitute the value of a you found into the equation y₁ = = C. Solve this equation for C: C = = C.a. Y2 Y1 - x1 C. • a*¹ to get an equation involving only C:

The variables x and y have an exponential relationship, one of the form y = Suppose that we also have the following table of values for x and y: We'll use these two data points to solve for C and a. Step 1: Solving for a. Point X y Point 1 2.7 27 Point 2 4.7 53 2 If we divide the equation y2 = Use the values from the table to make an equation involving only a: a = (Round these and all answers to 2 significant digits.) Solve this equation for a: Ca2 by the equation y₁ = Ca¹, we get the equation = a to the power Step 2: Solving for C. Substitute the value of a you found into the equation y₁ = = C. Solve this equation for C: C = = C.a. Y2 Y1 - x1 C. • a*¹ to get an equation involving only C:

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter8: Rational Expressions And Equations

Section8.9: Use Direct And Inverse Variation

Problem 8.182TI: The time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to...

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