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Exercises 1–4: Per Capita Income...

Exercises 1–4: Per Capita Income In 2004, the average

of the per capita (per person) incomes for Massachusetts

and Maine was $36,500. The per capita income in Massachusetts

exceeded the per capita income in Maine by

$11,000.

1. Set up a system of equations whose solution gives the

per capita income in each state. Identify what each

variable represents.

2. Use substitution to solve this system. Interpret the

result.

3. Use elimination to solve this system

.

4. Solve this system graphically. Do all your answers

agree?

Pg 620.

CEO Salaries In 2002, hourly wages for the top three

CEOs (chief executive officers) of U.S. corporations

were calculated based on their working 14 hours per

day for 365 days. Together the three CEOs made

$44,000 per hour. The top CEO earned $2,000 more per

hour than the combined hourly wages of the next two

top CEOs, and the top CEO earned $7,000 more per

hour than the next top CEO. (Source: USA Today, March 31,

2003.)

(a) Let x, y, and z be the hourly wages in thousands

of dollars for the top CEOs from greatest to least.

Write a system of equations whose solution gives

these hourly wages.

(b) Solve the system. Interpret the answer.

(c) The average American worker earned $16.23 per

hour in 2002. How many hours did the average

American work to earn an amount equal to one

hour of work by the top CEO in 2002?

of the per capita (per person) incomes for Massachusetts

and Maine was $36,500. The per capita income in Massachusetts

exceeded the per capita income in Maine by

$11,000.

1. Set up a system of equations whose solution gives the

per capita income in each state. Identify what each

variable represents.

2. Use substitution to solve this system. Interpret the

result.

3. Use elimination to solve this system

.

4. Solve this system graphically. Do all your answers

agree?

Pg 620.

CEO Salaries In 2002, hourly wages for the top three

CEOs (chief executive officers) of U.S. corporations

were calculated based on their working 14 hours per

day for 365 days. Together the three CEOs made

$44,000 per hour. The top CEO earned $2,000 more per

hour than the combined hourly wages of the next two

top CEOs, and the top CEO earned $7,000 more per

hour than the next top CEO. (Source: USA Today, March 31,

2003.)

(a) Let x, y, and z be the hourly wages in thousands

of dollars for the top CEOs from greatest to least.

Write a system of equations whose solution gives

these hourly wages.

(b) Solve the system. Interpret the answer.

(c) The average American worker earned $16.23 per

hour in 2002. How many hours did the average

American work to earn an amount equal to one

hour of work by the top CEO in 2002?

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