Can someone please help? Thank you. 6) The graph below shows the average savings, S thousands of dollars, of a group of universitygraduates 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.1S0-5132-13i) Write down the value of d.ii) Write down three simultaneous equations fro a, b,and c.-5A 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 cubicfunction 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.

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.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.3: Lines

Problem 92E

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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.

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