In 1990, the International Panel on Climate Change (IPCC) stated that if current trends of burning fossil fuel and deforestation were to continue, then future amounts of atmospheric carbon dioxide in parts per million (ppm) would increase, as shown in the table.

Year..................................Carbon Dioxide

1990 ..........................................353

2000 ..........................................375

2075 ..........................................590

2175 ........................................1090

2275 ........................................2000

(a) Let x = 0 represent 1990, x = 10 represent 2000, and so on. Find a function of the form ƒ(x) = a(x - h)² + k that models the data. Use 10, 3532 as the vertex and 1285, 20002 as another point to determine a.

(b) Use the function to predict the amount of carbon dioxide in 2300. Round to the nearest unit.