Homework Help is Here – Start Your Trial Now!
Math
Calculus
6) The graph below shows the average savings, S thousands of dollars, of a group of university graduates as a function of t, the number of years after graduating from the university. The equation of the model can be expressed in the form S = at³ +bt² + ct + d, where a, b, c and d are real constants. 1 S 0 -5 1 3 2 -1 3 -5 A negative value of S indicates that a graduate is expected to be in debt. a) Write down one feature of this graph which suggests a cubic function might be appropriate to model this scenario. b) i) Write down the value of d. ii) Write down three simultaneous equations fro a, b, and c. iii) Hence, or otherwise, find the values of a, b, and c. c) Use the model to determine the total length of time, in years, for which a graduate is expected to be in debt after graduating from university.

6) The graph below shows the average savings, S thousands of dollars, of a group of university graduates as a function of t, the number of years after graduating from the university. The equation of the model can be expressed in the form S = at³ +bt² + ct + d, where a, b, c and d are real constants. 1 S 0 -5 1 3 2 -1 3 -5 A negative value of S indicates that a graduate is expected to be in debt. a) Write down one feature of this graph which suggests a cubic function might be appropriate to model this scenario. b) i) Write down the value of d. ii) Write down three simultaneous equations fro a, b, and c. iii) Hence, or otherwise, find the values of a, b, and c. c) Use the model to determine the total length of time, in years, for which a graduate is expected to be in debt after graduating from university.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
100%
Can someone please help? Thank you.
6) The graph below shows the average savings, S thousands of dollars, of a group of university graduates as a function of t, the number of years after graduating from the university. The equation of the model can be expressed in the form S = at³ + bt² + ct + d, where a, b, c, and d are real constants. 1 S 0 -5 1 3 2 -1 3 i) Write down the value of d. ii) Write down three simultaneous equations fro a, b, and c. -5 A negative value of S indicates that a graduate is expected to be in debt. a) Write down one feature of this graph which suggests a cubic function might be appropriate to model this scenario. b) iii) Hence, or otherwise, find the values of a, b, and c. c) Use the model to determine the total length of time, in years, for which a graduate is expected to be in debt after graduating from university.
Transcribed Image Text:6) The graph below shows the average savings, S thousands of dollars, of a group of university graduates as a function of t, the number of years after graduating from the university. The equation of the model can be expressed in the form S = at³ + bt² + ct + d, where a, b, c, and d are real constants. 1 S 0 -5 1 3 2 -1 3 i) Write down the value of d. ii) Write down three simultaneous equations fro a, b, and c. -5 A negative value of S indicates that a graduate is expected to be in debt. a) Write down one feature of this graph which suggests a cubic function might be appropriate to model this scenario. b) iii) Hence, or otherwise, find the values of a, b, and c. c) Use the model to determine the total length of time, in years, for which a graduate is expected to be in debt after graduating from university.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS