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Write the exponential equation in both forms. y = a(b)* y = a(1±r)* t the constant percent rate of

Write the exponential equation in both forms. y = a(b)* y = a(1±r)* t the constant percent rate of

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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sing over the last few years. derful animals. Unfortunately 52 new marsh rabbits into th and the population of marsh Exponential equation that - relationship shown on te the equation in both represent in this resent in this E 1. 2. to sea scuba diver for an aquatic research organization is scouting locations where a new inspect. However, as she starts to swm farther down into the cave, and farther below level, the water pressure increases exponentially! The following incomplete table cavern, as the depth below sea level, x, increases. shows the exponential increase of water pressure, y, within this mysterious underwater 3. 4. 8 Lesson 7 Practice 5. a 2 MATH NATION pepth Below Sea Level, x (in feet) Water Pressure, y (in pounds per square foot (psf)) Name Date Period 0 29.5 y = a(b)* 1 2 31.0 Write the exponential equation in both forms. y = a(1±r)* 3 4 32 5 What factor does the water pressure increase by every 2 feet? Use this information to fill out the table for x = 4 and x = 6. 5 What factor does the water pressure increase by per foot? Explain and then use the information to completely fill in the remainder of the above table. 6 For this context, interpret the constant percent rate of change. 34 What will be the approximate water pressure inside the cavern at a depth of 30 feet below sea level? 1
Transcribed Image Text:sing over the last few years. derful animals. Unfortunately 52 new marsh rabbits into th and the population of marsh Exponential equation that - relationship shown on te the equation in both represent in this resent in this E 1. 2. to sea scuba diver for an aquatic research organization is scouting locations where a new inspect. However, as she starts to swm farther down into the cave, and farther below level, the water pressure increases exponentially! The following incomplete table cavern, as the depth below sea level, x, increases. shows the exponential increase of water pressure, y, within this mysterious underwater 3. 4. 8 Lesson 7 Practice 5. a 2 MATH NATION pepth Below Sea Level, x (in feet) Water Pressure, y (in pounds per square foot (psf)) Name Date Period 0 29.5 y = a(b)* 1 2 31.0 Write the exponential equation in both forms. y = a(1±r)* 3 4 32 5 What factor does the water pressure increase by every 2 feet? Use this information to fill out the table for x = 4 and x = 6. 5 What factor does the water pressure increase by per foot? Explain and then use the information to completely fill in the remainder of the above table. 6 For this context, interpret the constant percent rate of change. 34 What will be the approximate water pressure inside the cavern at a depth of 30 feet below sea level? 1
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