Question

The polynomial


`{ - 3x}^(2) + 400x`
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by

`{ - 1.5x}^(2) + 300x`
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million​

Answer 1

Answer:

Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x

Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)

Explanation:

Question 1

Budget surplus in 2010 =

Budget surplus in 2011 =

Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010

Question 2

2011 yearly tax revenue, x = $450,000

Budget surplus in 2011 =

Budget surplus in 2011 ≅ $

Explanation: