Each school district in Texas has a budget by which to operate. School administrators plan spending so that the exprenses for a school are less than the revenue. The greatest yearly exprense for a school ispayrollfor teachers and other staff. The cost of building new schools, buying school buses, or other long-term expenses are calledcapital expenses. Schools may also have to pay out money for loans or to people who have bought bonds, which support the schools. These are calleddebt service expenses.

The amout of revenue, $\displaystyle R$, per student to Texas schools for the 1999-2000 school year to ther 2003-2004 school year can be approximated by

Revenue: $\displaystyle R = 5732(1.025)^t$

where $\displaystyle t$ represents the school year with $\displaystyle t = 0$ corresponding to the 1999-2000 school year. For the same time period, expenses per student for Texas schools can be represented by the following formulas:

Payroll expenses: $\displaystyle P = 115t + 4598$

Capital expenses: $\displaystyle C = 18t + 191$

Debt service expenses: $\displaystyle D = 2t^2 + 8t + 37$

Miscellanueous expenses: $\displaystyle M = 19t + 894$

- Find an equation that represents the total expenses, $\displaystyle E$, per student.

For this one...would you just add up all the systems of equations above to get the equation that represents the total expenses per student?

- Graph the models for the revenue per student and the total expenses per student on the same set of coordinate axes.

I'll graph this...but I just want to make sure I got the right equation representing total expenses per student in the previous question.

- In which school year is the revenue per student approximately equal to the total expenses per student? Explain.

Like previous statement before.

- In which school year is the difference between the revenue per student and the expenses per student the greatest? What is the difference?

Like previous statement before.

- In which school year is the percentage that capital expenses are of total expenses the greatest? What is the percentage?

Like previous statement before.