Chapter 4.3, Problem 90E

Population growth. The population of California was approximately $30$ million in $1990$, $34$ million in $2000$ and $37$ million in $2010$. Construct a model for this data by finding a quadratic equation whose graph passes through the points $\left(0,30\right),\left(10,34\right)\text{ and }\left(20,37\right)$. Use this model to estimate the population in $2030$. Do you think the estimate is plausible?

Explain. (Source: US Census Bureau)