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)
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,...
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![### 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**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86112c08-3ed9-4fa5-9b45-d07d2d9fd551%2F226768d5-f075-4943-9955-668b0fa031f7%2Fmazimpg_processed.png&w=3840&q=75)
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**.
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