Homework Help is Here – Start Your Trial Now!
Math
Algebra
8) Determine the equation of an exponential function of the form y = a. b* that contains the points (4,-486) and (5, -1458).

8) Determine the equation of an exponential function of the form y = a. b* that contains the points (4,-486) and (5, -1458).

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
Question
**Problem 8** Determine the equation of an exponential function of the form \( y = a \cdot b^x \) that contains the points \( (4, -486) \) and \( (5, -1458) \). *Explanation:* To find the equation, use the two given points. Substitute each point into the equation \( y = a \cdot b^x \) to create a system of equations: 1. \( -486 = a \cdot b^4 \) 2. \( -1458 = a \cdot b^5 \) Solve this system for \( a \) and \( b \) to determine the exponential function.
Transcribed Image Text:**Problem 8** Determine the equation of an exponential function of the form \( y = a \cdot b^x \) that contains the points \( (4, -486) \) and \( (5, -1458) \). *Explanation:* To find the equation, use the two given points. Substitute each point into the equation \( y = a \cdot b^x \) to create a system of equations: 1. \( -486 = a \cdot b^4 \) 2. \( -1458 = a \cdot b^5 \) Solve this system for \( a \) and \( b \) to determine the exponential function.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS