WarmUp 7 Homework Solution lesson 6 1page 358

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Homework Solution lesson 6. 1_page 358 24) 32 25) 1. 9 26) 1024 36) a. 440 b. 1760 37) a. 8000 b. 32, 000 38) a. 132 b. 135, 168

Homework Lesson 6. 1_page 359 #15 -17 ALL, 47 and 51

Lesson 6. 1 Exponential Growth and Decay

Dependent Variable Starting value “Multiplier” Growth and decay factor Exponent and Independent Variable

Modeling Growth The population of the United States was 248, 718, 301 in 1990 and was projected to grow at a rate of about 8% per decade. Predict the population, to the nearest hundred thousand, for the years of 2010. To obtain the multiplier for exponential growth, add the growth rate to 100% + 8% = 108% or 1. 08

Modeling Growth The population of the United States was 248, 718, 301 in 1990 and was projected to grow at a rate of about 8% per decade. Predict the population, to the nearest hundred thousand, for the years of 2010. What does the independent variable represent? per decade (variable = n) What does the dependent variable represent? population

Modeling Growth The population of the United States was 248, 718, 301 in 1990 and was projected to grow at a rate of about 8% per decade. Predict the population, to the nearest hundred thousand, for the years of 2010.

Modeling Growth The population of the United States was 248, 718, 301 in 1990 and was projected to grow at a rate of about 8% per decade. Predict the population, to the nearest hundred thousand, for the years of 2010.

Modeling Decay The rate at which caffeine is eliminated from the bloodstream of an adult is about 15% per hour. An adult drinks a caffeinated soda, and the caffeine in his or her bloodstream reaches a peak level of 30 milligrams. Predict the amount to the nearest tenth of a milligram, of caffeine remaining 4 hours after the peak level.

Modeling Decay The rate at which caffeine is eliminated from the bloodstream of an adult is about 15% per hour. An adult drinks a caffeinated soda, and the caffeine in his or her bloodstream reaches a peak level of 30 milligrams. Predict the amount to the nearest tenth of a milligram, of caffeine remaining 4 hours after the peak level. To obtain the multiplier for exponential decay, subtract the rate of decay from 100% - 15% = 85% or 0. 85

Modeling Decay The rate at which caffeine is eliminated from the bloodstream of an adult is about 15% per hour. An adult drinks a caffeinated soda, and the caffeine in his or her bloodstream reaches a peak level of 30 milligrams. Predict the amount to the nearest tenth of a milligram, of caffeine remaining 4 hours after the peak level.

Modeling Decay The rate at which caffeine is eliminated from the bloodstream of an adult is about 15% per hour. An adult drinks a caffeinated soda, and the caffeine in his or her bloodstream reaches a peak level of 30 milligrams. Predict the amount to the nearest tenth of a milligram, of caffeine remaining 4 hours after the peak level.