Download presentation
Presentation is loading. Please wait.
Published byAubrey Moody Modified over 6 years ago
1
GROWTH factor Exponential Growth An exponential function, ,
can be used to model growth when b > 1. When b > 1, b is the ____________________________. Exponential Growth Example 1. Since 1985, the daily cost of patient care in community hospitals in the US has increased about 8.1% per year. In 1985, such hospital costs were an average of $460 per day. Write an equation to model the cost of hospital care and find the approximate cost per day in 2000. HINT! Define all of your variables FIRST! y (dependent variable) is what you are modeling y = a is the starting amount (when x = 0) a = b is the growth factor (100% plus the percent of increase) b = changed into decimal form x (independent variable) often represents the time factor x = You will see growth in a positive direction when a is greater than zero and b is greater than 1. GROWTH factor You will see growth in a negative direction when a is less than zero and b is greater than 1.
2
DECAY factor Exponential Decay An exponential function, ,
can be used to model growth when 0 < b < 1. When b < 1, b is the ____________________________. Exponential Decay Example 2. In 1990, the population of Washington, D.C., was about 604,000 people. Since then the population has decreased about 1.8% per year. If the trend continues, predict what the population of Washington, D.C., will be in 2010 (before the Census tells us exactly). HINT! Define all of your variables FIRST! y (dependent variable) is what you are modeling y = a is the starting amount (when x = 0) a = b is the decay factor (100% minus the percent of decrease) b = changed into decimal form x (independent variable) often represents the time factor x = You will see decay from a positive realm when a is greater than zero and b is less than 1. DECAY factor You will see decay from a negative realm when a is less than zero and b is greater than 1.
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.