Life expectancy of white males. Strange as it may seem, your...

Life expectancy of white males. Strange as it may seem, your life expectancy increases as you get older. The function $$L=72.2(1.002)^{a} $$ can be used to model life expectancy $L$, for U.S. white males with present age $a$ (National Center for Health Statistics, www, cde. gov/nchswww). a) To what age can a 20 -year-old white male expect to live? b) To what age can a 60 -year-old white male expect to live? (Sce also Chapter Review Exercises 141 and 142 .)

Life expectancy of white males. Strange as it may seem, your life expectancy increases as you get older. The function
$$L=72.2(1.002)^{a} $$
can be used to model life expectancy $L$, for U.S. white males with present age $a$ (National Center for Health Statistics, www, cde. gov/nchswww).
a) To what age can a 20 -year-old white male expect to live?
b) To what age can a 60 -year-old white male expect to live? (Sce also Chapter Review Exercises 141 and 142 .)

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Mathematical Modeling

Mathematical modeling uses equations and functions to represent real-world phenomena. By creating a model, such as a function that predicts life expectancy based on age, we can analyze and predict outcomes using available data, thereby providing insights into trends and future expectations.

Substitution in Functions

Substitution is the process of inserting specific values into a function's variable to calculate the corresponding output. This method is fundamental in evaluating models, as it allows us to determine the predicted life expectancy for any given age by replacing the variable with that age.

Exponential Functions

Exponential functions involve a constant base raised to a variable exponent and are used to describe processes that change multiplicatively over time. They are key in modeling scenarios where the change rate itself grows or decays, such as population dynamics, compound interest, and predictive life expectancy models.

Transcript

Please give Ace some feedback