AlgebraQuestions
Subject
AlgebraQuestions
PartA.
Letp represent the population, d the national debt and x the time.

a)
(Aufmannet al.,2014)
LinearEquations.

a)
Thisis the linear equation for population in slope intercept form.
At
Thisis the linear equation for debt in slope intercept form.

PopulationTime Graph (Goode et al.,2016)

National Debt – Time Graph.

In 10 years time when
Populationwill be after 10 years.
In20 years time
Time (Years) 
Debt($) 
Population 
Debt/Citizen 
0 
17, 000, 000, 000 
317, 000, 000 
53.63 
10 
39, 100, 000, 000 
345, 530, 000 
113.16 
20 
61, 200, 000, 000 
374, 060, 000 
163.61 
30 
83, 300, 000, 000 
402, 590, 000 
206.91 
5.
(Poole,D.,2014).
6.
=9 years.
PartB

Let the profit for June be and that of May be
Dueto the unexpected weather

Part C.Graph
10.

Square root method cannot be used to solve the above quadratic since b is not equal to zero (Strang, G.,2011)
References
Strang,G. (2011). Introduction to linear algebra.
Poole,D. (2014). Linearalgebra: A modern introduction.Cengage Learning.
Aufmann,R. N., & Nation, R. D. (2014). CollegeAlgebra.Nelson Education.
Goode,S. W., & Annin, S. A. (2016). Differentialequations and linear algebra.Pearson.