In 1950, there were 249,187 immigrants admitted to the United States. In 2017, the number was 1,127,167.

(a) Assuming that the change in immigration is linear, write an equation expressing the number of immigrants, y, in terms of t, the number of years after 1900.

(b) Use your result in part (a) to predict the number of immigrants admitted to the United States in 2020.

(c) Considering the value of the y-intercept in your answer to part (a), discuss the validity of using this equation to model the number of immigrants throughout the last 120 years.

You may wish to look at the data and decide to what extent the linear hypothesis is accurate.