Thank you for visiting What is the rate of decay tex r tex expressed as a decimal for data best modeled by the exponential function tex y 63 4. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To find the rate of decay, [tex]\( r \)[/tex], in the exponential function [tex]\( y = 63.4(0.92)^x \)[/tex], you can use the structure of the exponential function [tex]\( y = a(b)^x \)[/tex], where [tex]\( b \)[/tex] is the base representing the growth or decay factor.
In this particular function:
- [tex]\( a = 63.4 \)[/tex] is the initial amount.
- [tex]\( b = 0.92 \)[/tex] is the base.
For exponential decay models, the rate of decay, [tex]\( r \)[/tex], can be determined by:
[tex]\[ r = 1 - b \][/tex]
Here, we substitute the given value of [tex]\( b \)[/tex]:
1. Calculate [tex]\( r \)[/tex]:
[tex]\[ r = 1 - 0.92 \][/tex]
2. Subtract to find [tex]\( r \)[/tex]:
[tex]\[ r = 0.08 \][/tex]
So, the rate of decay [tex]\( r \)[/tex] is [tex]\( 0.08 \)[/tex].
This means that the data decreases by approximately 8% each time period. Hence, the correct answer is:
[tex]\( r = 0.08 \)[/tex].
In this particular function:
- [tex]\( a = 63.4 \)[/tex] is the initial amount.
- [tex]\( b = 0.92 \)[/tex] is the base.
For exponential decay models, the rate of decay, [tex]\( r \)[/tex], can be determined by:
[tex]\[ r = 1 - b \][/tex]
Here, we substitute the given value of [tex]\( b \)[/tex]:
1. Calculate [tex]\( r \)[/tex]:
[tex]\[ r = 1 - 0.92 \][/tex]
2. Subtract to find [tex]\( r \)[/tex]:
[tex]\[ r = 0.08 \][/tex]
So, the rate of decay [tex]\( r \)[/tex] is [tex]\( 0.08 \)[/tex].
This means that the data decreases by approximately 8% each time period. Hence, the correct answer is:
[tex]\( r = 0.08 \)[/tex].
Thank you for reading the article What is the rate of decay tex r tex expressed as a decimal for data best modeled by the exponential function tex y 63 4. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
