The total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by the model D = 0.032t2 + 0.21t + 5.6, 0 ≤ t ≤ 8 where t represents the year, with t = 0 corresponding to 2000.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
The total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by the model
where t represents the year, with t = 0 corresponding to 2000.
| t | D |
|---|---|
| 0 | 5.6 |
| 1 | 5.842 |
| 2 | 6.148 |
| 3 | 6.518 |
| 4 | 6.952 |
| 5 | 7.45 |
| 6 | 8.012 |
| 7 | 8.638 |
| 8 | 9.328 |
(b) Verify your result from part (a) algebraically and graphically. (Round your answer to two decimal places.)
t =
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
