Solve each problem.

Baby Boom U.S. population during the years between 1946 and 1964, commonly known as the Baby Boom, can be modeled by the following linear equation. y = 2.8370 x + 140.83 Here y represents the population in millions as of July 1 of a given year, and x represents number of years after 1946. Thus, x = 0 corresponds to 1946, x = 1 corresponds to 1947, and so on.

(a) According to the model, what was the U.S. population on July 1, 1952?

(b) In what year did the U.S. population reach 150 million?