Chapter 4.3, Problem 89E

Population growth. The U.S. population was approximately $75$ million in $1900$, $150$ million in $1950$ and $275$ million in $2000$. Construct a model for this data by finding a quadratic equation whose graph passes through the points $\left(0,75\right),\left(50,150\right)\text{and}\left(100,275\right)$ Use this model to estimate the population in $2050$.