a.
To find: The equation of parabola
a.
Answer to Problem 96E
The equation of parabola is
Explanation of Solution
Given information:
The table shows the average annual salaries
Calculation:
Given the equation of parabola:
Putting
Putting
Putting
Equation 1:
Equation 2:
Equation 3:
Now solving this system of equation
Augmented matrix:
Reducing this augmented matrix in echelon form
Now system of linear equation according to echelon matrix
Hence the equation of parabola is
b.
To Graph: use a graphing utility to graph the parabola and plot data points
b.
Explanation of Solution
Given information:
The table shows the average annual salaries
Graph:
The equation of parabola is
c.
To Find: average annual salaries in
c.
Answer to Problem 96E
Average annual salaries in
Explanation of Solution
Given information:
The table shows the average annual salaries
Calculation:
The equation of parabola is
Year
Average annual salaries in
Year
Average Consumer costs in
Year
Average Consumer costs in
Hence, average consumer costs in
d.
To Explain: Are estimates in part (c) reasonable?
d.
Answer to Problem 96E
Yes
Explanation of Solution
Given information:
The table shows the average annual salaries
Yes, estimates in part (c) is reasonable because it can be seen from given table that as the time increases average annual salaries increases also in
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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