Homework Help is Here – Start Your Trial Now!
Math
Algebra
Ir. Boyle's annual income can be modeled by the function f(x) = 750x+48500, where x is the number of years since 2015. Choices for 89-90: A) $50,000 B) $52,250 C) $53,000 D) $56,000 E) $56,750 AB) $57,500 90. What does this model predict Mr. Boyle's annual income to be in 2027? AC) $63,500 AD) $68,750

Ir. Boyle's annual income can be modeled by the function f(x) = 750x+48500, where x is the number of years since 2015. Choices for 89-90: A) $50,000 B) $52,250 C) $53,000 D) $56,000 E) $56,750 AB) $57,500 90. What does this model predict Mr. Boyle's annual income to be in 2027? AC) $63,500 AD) $68,750

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
icon
Related questions
Question
### Predicting Future Income with Linear Models **Mr. Boyle’s Annual Income Prediction** Mr. Boyle’s annual income can be modeled by the linear function \( f(x) = 750x + 48500 \), where \( x \) represents the number of years since 2015. This mathematical model helps us predict changes in Mr. Boyle’s annual income over time. **Problem Statement:** *What does this model predict Mr. Boyle’s annual income to be in 2027?* Using the given function, substituting \( x = 12 \) (since 2027 is 12 years after 2015), we can calculate Mr. Boyle's predicted income for the year 2027: \[ f(12) = 750 \times 12 + 48500 = 9000 + 48500 = 57500 \] Therefore, the model predicts that Mr. Boyle’s annual income in 2027 will be $57,500. **Choices for the problems 89-90:** - A) $50,000 - B) $52,250 - C) $53,000 - D) $56,000 - E) $56,750 - AB) $57,500 - AC) $63,500 - AD) $68,750 The correct answer for the prediction in 2027, based on the given model, is **AB) $57,500**.
Transcribed Image Text:### Predicting Future Income with Linear Models **Mr. Boyle’s Annual Income Prediction** Mr. Boyle’s annual income can be modeled by the linear function \( f(x) = 750x + 48500 \), where \( x \) represents the number of years since 2015. This mathematical model helps us predict changes in Mr. Boyle’s annual income over time. **Problem Statement:** *What does this model predict Mr. Boyle’s annual income to be in 2027?* Using the given function, substituting \( x = 12 \) (since 2027 is 12 years after 2015), we can calculate Mr. Boyle's predicted income for the year 2027: \[ f(12) = 750 \times 12 + 48500 = 9000 + 48500 = 57500 \] Therefore, the model predicts that Mr. Boyle’s annual income in 2027 will be $57,500. **Choices for the problems 89-90:** - A) $50,000 - B) $52,250 - C) $53,000 - D) $56,000 - E) $56,750 - AB) $57,500 - AC) $63,500 - AD) $68,750 The correct answer for the prediction in 2027, based on the given model, is **AB) $57,500**.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
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