Explanation Given: The following table shows for a tubeworm the rate of growth in length, measured in meters per year, at the given length, in meters, Length in Meters Growth rate in meters per year 0 0.0510 0.5 0.0255 1.0 0.0128 1.5 0.0064 2.0 0.0032 Table ( 1 ) Approach: The model is considered to be exponential if the successive ratios are equal. Successive ratio = New value old value The expression for an exponential decay model is, New value = initial value × ( decay factor ) t …… ( 1 ) The decay rate is given by, r = 1 − a …… ( 2 ) Here, a is the growth factor and r is growth rate. Calculation: The successive ratios are shown in below table. Length Increment Successive differences Successive Ratios 0 to 0.5 0.0255 − 0.0510 = − 0.026 0.0255 0.0510 = 0.500 0.5 to 1.0 0.0128 − 0.0255 = − 0.013 To determine (b) To find: The functional notation for the growth rate at a length of 0.64 meters and its value.

6th Edition

ISBN: 9780357422496

Author: Crauder

Publisher: CENGAGE L

See similar textbooks

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…

Videos

Question

Chapter 4.3, Problem 20E

To determine

(a)

The more appropriate model for the tubeworm and the model and the percentage growth rate.

To determine

(b)

To find:

The functional notation for the growth rate at a length of 0.64 meters and its value.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.3, Problem 19E

Chapter 4.3, Problem 1SBE

Students have asked these similar questions

Solve for the matrix X: X (2 7³) x + ( 2 ) - (112) 6 14 8

5. Solve for the matrix X. (Hint: we can solve AX -1 = B whenever A is invertible) 2 3 0 Χ 2 = 3 1

Write p(x) = 6+11x+6x² as a linear combination of ƒ (x) = 2+x+4x² and g(x) = 1−x+3x² and h(x)=3+2x+5x²

Chapter 4 Solutions

FUNCTIONS+CHANGE -WEBASSIGN

Ch. 4.1 - TEST YOUR UNDESTANDING| FOR EXAMPLE 4.1...Ch. 4.1 - TEST YOUR UNDERSTANDING| FOR EXAMPLE 4.2 In a...Ch. 4.1 - Prob. 3TU Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...Ch. 4.1 - Reminder Round all answers to two decimal places...

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

(a) The more appropriate model for the tubeworm and the model and the percentage growth rate.

Solution Summary: The author explains that the exponential model is more suitable for the data and the percentage decay rate per meter is 75%.