The variables and y have an exponential relationship, one of the form y = C. a. Suppose that we also have the following table of values for x and y: Point X Point 1 1.9 Point 2 4.9 4700 y 340 We'll use these two data points to solve for C and a. Step 1: Solving for a. a = If we divide the equation y2 Ca2 by the equation y₁ Use the values from the table to make an equation involving only a: = = a to the power (Round these and all answers to 2 significant digits.) Solve this equation for a: = C. Solve this equation for C: C = Y2 Ca¹, we get the equation = a Y1 = Step 2: Solving for C. Substitute the value of a you found into the equation y₁ = C. a¹ to get an equation involving only C: X2X1

The variables and y have an exponential relationship, one of the form y = C. a. Suppose that we also have the following table of values for x and y: Point X Point 1 1.9 Point 2 4.9 4700 y 340 We'll use these two data points to solve for C and a. Step 1: Solving for a. a = If we divide the equation y2 Ca2 by the equation y₁ Use the values from the table to make an equation involving only a: = = a to the power (Round these and all answers to 2 significant digits.) Solve this equation for a: = C. Solve this equation for C: C = Y2 Ca¹, we get the equation = a Y1 = Step 2: Solving for C. Substitute the value of a you found into the equation y₁ = C. a¹ to get an equation involving only C: X2X1

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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