Function is defined by . Function is defined by .

1. Which function is quadratic? Which one is exponential?
2. The values of which function will eventually be greater for larger and larger values of ?

Create a table of values to show that the exponential expression eventually overtakes the quadratic expression .

Here is a pattern of shapes. The area of each small square is 1 sq cm.

1. What is the area of the shape in Step 10?
2. What is the area of the shape in Step ?
3. Explain how you see the pattern growing.

A bicycle costs $240, and it loses of its value each year.

1. Write expressions for the value of the bicycle, in dollars, after 1, 2, and 3 years.
2. When will the bike be worth less than $1?
3. Will the value of the bike ever be 0? Explain your reasoning.

A farmer plants wheat and corn. It costs about $150 per acre to plant wheat and about $350 per acre to plant corn. The farmer plans to spend no more than $250,000 planting wheat and corn. The total area of corn and wheat that the farmer plans to plant is less than 1200 acres.

Inequality graphed on a coordinate plane, origin O. Horizontal axis from 20 to 2000 by 500’s, acres of wheat. Vertical axis from 0 to 1000 by 500’s, acres of corn. Line passes through 0 comma 70, 500 comma 500 and 1200 comma 200. The region below the line is shaded.

This graph represents the inequality, , which describes the cost constraint in this situation. Let represent the number of acres of wheat and represent the number of acres of corn.  

1. The inequality, represents the total area constraint in this situation. On the same coordinate plane, graph the solution to this inequality.

2. Use the graphs to find at least two possible combinations of the number of acres of wheat and the number of acres of corn that the farmer could plant.

3. The combination of 400 acres of wheat and 700 acres of corn meets one constraint in the situation but not the other constraint. Which constraint does this meet? Explain your reasoning.