**Sample Questions for Written Part of Final Exam**

The bar graph shows the population of a country in millions for 4 selected years.

1. Use the data (in millions) from the bar graph to make a scatter plot for the total population *P* for *x *years after 1995.

2. Find a linear model for *P *using the data from 1995 and 2005. Round slope to two decimal places and constant to one decimal place. Solve for y.

3. **Given: P(x) = 18.48x + 500.4**

Does the given regression equation ** overestimate** or

**the actual total population in 2010? By how much?**

__underestimate__4. According to the given model for *P(x)*, what is the predicted total population for 2050?

5. What is the percentage increase or decrease in the population from 1995 to 2010?

6. Discuss the advantages and limitations of a model for predicting the population. Use specific examples of application in your reasoning.

7. Explain why the domain of f(x) = (x+3)/(x - 4 ) is all real numbers except x = 4. Use the definition of a function in your explanation.

8. Solve the following equation for all real solutions: x^{4} - 7x^{3} + x - 7 = 0

9. Use row operations on an augmented matrix to solve the given system of linear equations.

x + 5y = 10

3x + 4y = 8

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